89688480 has 96 divisors (see below), whose sum is σ = 322890624. Its totient is φ = 20499456.

The previous prime is 89688449. The next prime is 89688509. The reversal of 89688480 is 8488698.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 9987 + ... + 16706.

It is an arithmetic number, because the mean of its divisors is an integer number (3363444).

Almost surely, 2^89688480 is an apocalyptic number.

89688480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89688480 is an abundant number, since it is smaller than the sum of its proper divisors (233202144).

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

89688480 is a wasteful number, since it uses less digits than its factorization.

89688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26718 (or 26710 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 89688480 is about 9470.4002027369. The cubic root of 89688480 is about 447.6228224189.

The spelling of 89688480 in words is "eighty-nine million, six hundred eighty-eight thousand, four hundred eighty".