87200256 has 160 divisors (see below), whose sum is σ = 273607488. Its totient is φ = 24330240.

The previous prime is 87200251. The next prime is 87200261. The reversal of 87200256 is 65200278.

It is an interprime number because it is at equal distance from previous prime (87200251) and next prime (87200261).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87200251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219450 + ... + 219846.

Almost surely, 2^87200256 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 87200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136803744).

87200256 is an abundant number, since it is smaller than the sum of its proper divisors (186407232).

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

87200256 is a wasteful number, since it uses less digits than its factorization.

87200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87200256 is about 9338.1077312269. The cubic root of 87200256 is about 443.4444801443. Note that the first 4 decimals are identical.

The spelling of 87200256 in words is "eighty-seven million, two hundred thousand, two hundred fifty-six".