87116480 has 56 divisors (see below), whose sum is σ = 226314000. Its totient is φ = 31677440.

The previous prime is 87116467. The next prime is 87116507. The reversal of 87116480 is 8461178.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87116480.

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, 8855 + ... + 15894.

Almost surely, 2^87116480 is an apocalyptic number.

87116480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87116480 is an abundant number, since it is smaller than the sum of its proper divisors (139197520).

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

87116480 is a wasteful number, since it uses less digits than its factorization.

87116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24777 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 87116480 is about 9333.6209479494. The cubic root of 87116480 is about 443.3024243374.

The spelling of 87116480 in words is "eighty-seven million, one hundred sixteen thousand, four hundred eighty".