87873680 has 40 divisors (see below), whose sum is σ = 216327672. Its totient is φ = 33081344.

The previous prime is 87873679. The next prime is 87873703. The reversal of 87873680 is 8637878.

It can be written as a sum of positive squares in 4 ways, for example, as 10995856 + 76877824 = 3316^2 + 8768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 30947 + ... + 33666.

Almost surely, 2^87873680 is an apocalyptic number.

87873680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87873680 is an abundant number, since it is smaller than the sum of its proper divisors (128453992).

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

87873680 is a wasteful number, since it uses less digits than its factorization.

87873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64643 (or 64637 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 87873680 is about 9374.0962231033. The cubic root of 87873680 is about 444.5830880422.

The spelling of 87873680 in words is "eighty-seven million, eight hundred seventy-three thousand, six hundred eighty".