89332880 has 120 divisors (see below), whose sum is σ = 260342712. Its totient is φ = 28256256.

The previous prime is 89332879. The next prime is 89332883. The reversal of 89332880 is 8823398.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 86415616 = 1708^2 + 9296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89332883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50084 + ... + 51836.

Almost surely, 2^89332880 is an apocalyptic number.

89332880 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 89332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130171356).

89332880 is an abundant number, since it is smaller than the sum of its proper divisors (171009832).

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

89332880 is a wasteful number, since it uses less digits than its factorization.

89332880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 89332880 is about 9451.6072707239. The cubic root of 89332880 is about 447.0304553451.

The spelling of 89332880 in words is "eighty-nine million, three hundred thirty-two thousand, eight hundred eighty".