96000 has 72 divisors (see below), whose sum is σ = 318864. Its totient is φ = 25600.

The previous prime is 95989. The next prime is 96001. The reversal of 96000 is 69.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96001) by changing a digit.

96000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19198 + ... + 19202.

2^{96000} 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 96000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432).

96000 is an abundant number, since it is smaller than the sum of its proper divisors (222864).

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

96000 is an equidigital number, since it uses as much as digits as its factorization.

96000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 96000 is about 309.8386676966. The cubic root of 96000 is about 45.7885697021.

Multiplying 96000 by its sum of digits (15), we get a square (1440000 = 1200^{2}).

96000 divided by its sum of digits (15) gives a square (6400 = 80^{2}).

Adding to 96000 its reverse (69), we get a palindrome (96069).

The spelling of 96000 in words is "ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000

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