87602256 has 160 divisors (see below), whose sum is σ = 292838400. Its totient is φ = 24554880.

The previous prime is 87602227. The next prime is 87602279. The reversal of 87602256 is 65220678.

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 87602256.

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 31 ways as a sum of consecutive naturals, for example, 178171 + ... + 178661.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2^87602256 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 87602256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146419200).

87602256 is an abundant number, since it is smaller than the sum of its proper divisors (205236144).

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

87602256 is a wasteful number, since it uses less digits than its factorization.

87602256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87602256 is about 9359.6076840859. The cubic root of 87602256 is about 444.1248735689.

The spelling of 87602256 in words is "eighty-seven million, six hundred two thousand, two hundred fifty-six".