89816160 has 96 divisors (see below), whose sum is σ = 323350272. Its totient is φ = 20528640.

The previous prime is 89816143. The next prime is 89816203. The reversal of 89816160 is 6161898.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10006 + ... + 16725.

It is an arithmetic number, because the mean of its divisors is an integer number (3368232).

Almost surely, 2^89816160 is an apocalyptic number.

89816160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89816160 is an abundant number, since it is smaller than the sum of its proper divisors (233534112).

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

89816160 is a wasteful number, since it uses less digits than its factorization.

89816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26756 (or 26748 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 89816160 is about 9477.1388087334. The cubic root of 89816160 is about 447.8351327875.

The spelling of 89816160 in words is "eighty-nine million, eight hundred sixteen thousand, one hundred sixty".