89091360 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 23132160.

The previous prime is 89091349. The next prime is 89091383. The reversal of 89091360 is 6319098.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 176869 + ... + 177371.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^89091360 is an apocalyptic number.

89091360 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 89091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

89091360 is an abundant number, since it is smaller than the sum of its proper divisors (230968800).

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

89091360 is a wasteful number, since it uses less digits than its factorization.

89091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 89091360 is about 9438.8219603932. The cubic root of 89091360 is about 446.6272285171.

The spelling of 89091360 in words is "eighty-nine million, ninety-one thousand, three hundred sixty".