64688256 has 96 divisors (see below), whose sum is σ = 187721820. Its totient is φ = 21381120.

The previous prime is 64688231. The next prime is 64688257. The reversal of 64688256 is 65288646.

It can be written as a sum of positive squares in 2 ways, for example, as 64641600 + 46656 = 8040^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64688257) 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, 268296 + ... + 268536.

Almost surely, 2^64688256 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 64688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93860910).

64688256 is an abundant number, since it is smaller than the sum of its proper divisors (123033564).

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

64688256 is a wasteful number, since it uses less digits than its factorization.

64688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 64688256 is about 8042.9009691777. The cubic root of 64688256 is about 401.4287572224.

The spelling of 64688256 in words is "sixty-four million, six hundred eighty-eight thousand, two hundred fifty-six".