87475680 has 96 divisors (see below), whose sum is σ = 306180000. Its totient is φ = 23325696.

The previous prime is 87475679. The next prime is 87475691. The reversal of 87475680 is 8657478.

87475680 is a `hidden beast` number, since 87 + 4 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805 + ... + 14444.

It is an arithmetic number, because the mean of its divisors is an integer number (3189375).

Almost surely, 2^87475680 is an apocalyptic number.

87475680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87475680 is an abundant number, since it is smaller than the sum of its proper divisors (218704320).

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

87475680 is a wasteful number, since it uses less digits than its factorization.

87475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20273 (or 20259 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87475680 is about 9352.8434179131. The cubic root of 87475680 is about 443.9108659642.

The spelling of 87475680 in words is "eighty-seven million, four hundred seventy-five thousand, six hundred eighty".