87918720 has 128 divisors (see below), whose sum is σ = 290088000. Its totient is φ = 22622208.

The previous prime is 87918709. The next prime is 87918731. The reversal of 87918720 is 2781978.

It is an interprime number because it is at equal distance from previous prime (87918709) and next prime (87918731).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54891 + ... + 56469.

Almost surely, 2^87918720 is an apocalyptic number.

87918720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145044000).

87918720 is an abundant number, since it is smaller than the sum of its proper divisors (202169280).

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

87918720 is a wasteful number, since it uses less digits than its factorization.

87918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 87918720 is about 9376.4982802750. The cubic root of 87918720 is about 444.6590326714.

The spelling of 87918720 in words is "eighty-seven million, nine hundred eighteen thousand, seven hundred twenty".