87331680 has 72 divisors (see below), whose sum is σ = 298024272. Its totient is φ = 23288064.

The previous prime is 87331661. The next prime is 87331723. The reversal of 87331680 is 8613378.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 28884 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 2^87331680 is an apocalyptic number.

87331680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87331680 is an abundant number, since it is smaller than the sum of its proper divisors (210692592).

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

87331680 is a wasteful number, since it uses less digits than its factorization.

87331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60668 (or 60657 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87331680 is about 9345.1420534950. The cubic root of 87331680 is about 443.6671476607.

The spelling of 87331680 in words is "eighty-seven million, three hundred thirty-one thousand, six hundred eighty".