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968000 = 2653112
BaseRepresentation
bin11101100010101000000
31211011211212
43230111000
5221434000
632425252
711141105
oct3542500
91734755
10968000
11601300
123a8228
1327b7a7
141b2aac
15141c35
hexec540

968000 has 84 divisors (see below), whose sum is σ = 2634996. Its totient is φ = 352000.

The previous prime is 967999. The next prime is 968003. The reversal of 968000 is 869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 937024 = 176^2 + 968^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87995 + ... + 88005.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2968000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317498).

968000 is an abundant number, since it is smaller than the sum of its proper divisors (1666996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968000 is a wasteful number, since it uses less digits than its factorization.

968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 968000 is about 983.8699100999. The cubic root of 968000 is about 98.9217488650.

Adding to 968000 its reverse (869), we get a palindrome (968869).

The spelling of 968000 in words is "nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 704 800 880 968 1000 1100 1210 1375 1600 1760 1936 2000 2200 2420 2750 3025 3520 3872 4000 4400 4840 5500 6050 7744 8000 8800 9680 11000 12100 15125 17600 19360 22000 24200 30250 38720 44000 48400 60500 88000 96800 121000 193600 242000 484000 968000