87512256 has 252 divisors, whose sum is σ = 290047680. Its totient is φ = 25159680.

The previous prime is 87512231. The next prime is 87512273. The reversal of 87512256 is 65221578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 87512256.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2822961 + ... + 2822991.

Almost surely, 2^87512256 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 87512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145023840).

87512256 is an abundant number, since it is smaller than the sum of its proper divisors (202535424).

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

87512256 is a wasteful number, since it uses less digits than its factorization.

87512256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 87512256 is about 9354.7985547525. The cubic root of 87512256 is about 443.9727278111.

It can be divided in two parts, 875 and 12256, that added together give a palindrome (13131).

The spelling of 87512256 in words is "eighty-seven million, five hundred twelve thousand, two hundred fifty-six".