87610656 has 96 divisors (see below), whose sum is σ = 278328960. Its totient is φ = 23556096.

The previous prime is 87610631. The next prime is 87610661. The reversal of 87610656 is 65601678.

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

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 15 ways as a sum of consecutive naturals, for example, 7590 + ... + 15258.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^87610656 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 87610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139164480).

87610656 is an abundant number, since it is smaller than the sum of its proper divisors (190718304).

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

87610656 is a wasteful number, since it uses less digits than its factorization.

87610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 87610656 is about 9360.0564100864. The cubic root of 87610656 is about 444.1390685218.

The spelling of 87610656 in words is "eighty-seven million, six hundred ten thousand, six hundred fifty-six".