87959680 has 32 divisors (see below), whose sum is σ = 210280140. Its totient is φ = 35183616.

The previous prime is 87959653. The next prime is 87959689. The reversal of 87959680 is 8695978.

It can be written as a sum of positive squares in 2 ways, for example, as 85673536 + 2286144 = 9256^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (87959689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68079 + ... + 69358.

Almost surely, 2^87959680 is an apocalyptic number.

87959680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87959680 is an abundant number, since it is smaller than the sum of its proper divisors (122320460).

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

87959680 is a wasteful number, since it uses less digits than its factorization.

87959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137456 (or 137444 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 87959680 is about 9378.6822102042. The cubic root of 87959680 is about 444.7280752533.

The spelling of 87959680 in words is "eighty-seven million, nine hundred fifty-nine thousand, six hundred eighty".