87656256 has 140 divisors (see below), whose sum is σ = 267447268. Its totient is φ = 28366848.

The previous prime is 87656249. The next prime is 87656297. The reversal of 87656256 is 65265678.

87656256 is a `hidden beast` number, since 87 + 6 + 562 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 10497600 = 8784^2 + 3240^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191580 + ... + 192036.

Almost surely, 2^87656256 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 87656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133723634).

87656256 is an abundant number, since it is smaller than the sum of its proper divisors (179791012).

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

87656256 is a wasteful number, since it uses less digits than its factorization.

87656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 87656256 is about 9362.4919759645. The cubic root of 87656256 is about 444.2161110100.

The spelling of 87656256 in words is "eighty-seven million, six hundred fifty-six thousand, two hundred fifty-six".