89813360 has 160 divisors (see below), whose sum is σ = 262066560. Its totient is φ = 28035072.

The previous prime is 89813351. The next prime is 89813389. The reversal of 89813360 is 6331898.

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 31 ways as a sum of consecutive naturals, for example, 1230284 + ... + 1230356.

It is an arithmetic number, because the mean of its divisors is an integer number (1637916).

Almost surely, 2^89813360 is an apocalyptic number.

89813360 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 89813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033280).

89813360 is an abundant number, since it is smaller than the sum of its proper divisors (172253200).

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

89813360 is a wasteful number, since it uses less digits than its factorization.

89813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 89813360 is about 9476.9910836721. The cubic root of 89813360 is about 447.8304790170.

The spelling of 89813360 in words is "eighty-nine million, eight hundred thirteen thousand, three hundred sixty".