89892880 has 80 divisors (see below), whose sum is σ = 260590464. Its totient is φ = 28016640.

The previous prime is 89892863. The next prime is 89892893. The reversal of 89892880 is 8829898.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 13456.

Almost surely, 2^89892880 is an apocalyptic number.

89892880 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 89892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130295232).

89892880 is an abundant number, since it is smaller than the sum of its proper divisors (170697584).

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

89892880 is a wasteful number, since it uses less digits than its factorization.

89892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The square root of 89892880 is about 9481.1855798734. The cubic root of 89892880 is about 447.9626084864.

The spelling of 89892880 in words is "eighty-nine million, eight hundred ninety-two thousand, eight hundred eighty".