89775360 has 108 divisors (see below), whose sum is σ = 310653252. Its totient is φ = 23937024.

The previous prime is 89775353. The next prime is 89775379. The reversal of 89775360 is 6357798.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 23970816 = 8112^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7624 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (2876419).

Almost surely, 2^89775360 is an apocalyptic number.

89775360 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 89775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326626).

89775360 is an abundant number, since it is smaller than the sum of its proper divisors (220877892).

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

89775360 is a wasteful number, since it uses less digits than its factorization.

89775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 89775360 is about 9474.9860158208. The cubic root of 89775360 is about 447.7673111363.

The spelling of 89775360 in words is "eighty-nine million, seven hundred seventy-five thousand, three hundred sixty".