89925360 has 80 divisors (see below), whose sum is σ = 318598656. Its totient is φ = 20553984.

The previous prime is 89925337. The next prime is 89925371. The reversal of 89925360 is 6352998.

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

It is a super-2 number, since 2×89925360² = 16173140742259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 25084 + ... + 28443.

Almost surely, 2^89925360 is an apocalyptic number.

89925360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89925360 is an abundant number, since it is smaller than the sum of its proper divisors (228673296).

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

89925360 is a wasteful number, since it uses less digits than its factorization.

89925360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53550 (or 53544 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 89925360 is about 9482.8982911344. The cubic root of 89925360 is about 448.0165544478.

The spelling of 89925360 in words is "eighty-nine million, nine hundred twenty-five thousand, three hundred sixty".