87392256 has 128 divisors (see below), whose sum is σ = 268431360. Its totient is φ = 24772608.

The previous prime is 87392251. The next prime is 87392273. The reversal of 87392256 is 65229378.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87392251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688065 + ... + 688191.

It is an arithmetic number, because the mean of its divisors is an integer number (2097120).

Almost surely, 2^87392256 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 87392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134215680).

87392256 is an abundant number, since it is smaller than the sum of its proper divisors (181039104).

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

87392256 is an equidigital number, since it uses as much as digits as its factorization.

87392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 87392256 is about 9348.3825338932. The cubic root of 87392256 is about 443.7697044480.

The spelling of 87392256 in words is "eighty-seven million, three hundred ninety-two thousand, two hundred fifty-six".