87392856 has 64 divisors (see below), whose sum is σ = 235382400. Its totient is φ = 26949888.

The previous prime is 87392849. The next prime is 87392861. The reversal of 87392856 is 65829378.

It is a super-2 number, since 2×87392856² = 15275022559673472, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17380 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (3677850).

Almost surely, 2^87392856 is an apocalyptic number.

87392856 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87392856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117691200).

87392856 is an abundant number, since it is smaller than the sum of its proper divisors (147989544).

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

87392856 is a wasteful number, since it uses less digits than its factorization.

87392856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4524 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 87392856 is about 9348.4146249511. The cubic root of 87392856 is about 443.7707200270.

The spelling of 87392856 in words is "eighty-seven million, three hundred ninety-two thousand, eight hundred fifty-six".