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68864 = 28269
BaseRepresentation
bin10000110100000000
310111110112
4100310000
54200424
61250452
7404525
oct206400
9114415
1068864
1147814
1233a28
1325463
141b14c
151560e
hex10d00

68864 has 18 divisors (see below), whose sum is σ = 137970. Its totient is φ = 34304.

The previous prime is 68863. The next prime is 68879. The reversal of 68864 is 46886.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 25600 = 208^2 + 160^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 68864.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68864.

It is not an unprimeable number, because it can be changed into a prime (68863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (7665).

268864 is an apocalyptic number.

68864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68985).

68864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

68864 is an equidigital number, since it uses as much as digits as its factorization.

68864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 68864 is about 262.4195114697. The cubic root of 68864 is about 40.9886940867.

The spelling of 68864 in words is "sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 269 538 1076 2152 4304 8608 17216 34432 68864