87954880 has 56 divisors (see below), whose sum is σ = 225564192. Its totient is φ = 32474112.

The previous prime is 87954859. The next prime is 87954901. The reversal of 87954880 is 8845978.

It is an interprime number because it is at equal distance from previous prime (87954859) and next prime (87954901).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6412 + ... + 14731.

It is an arithmetic number, because the mean of its divisors is an integer number (4027932).

Almost surely, 2^87954880 is an apocalyptic number.

87954880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87954880 is an abundant number, since it is smaller than the sum of its proper divisors (137609312).

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

87954880 is a wasteful number, since it uses less digits than its factorization.

87954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21173 (or 21163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 87954880 is about 9378.4263072223. The cubic root of 87954880 is about 444.7199854346.

The spelling of 87954880 in words is "eighty-seven million, nine hundred fifty-four thousand, eight hundred eighty".