89313360 has 80 divisors (see below), whose sum is σ = 279636864. Its totient is φ = 23579136.

The previous prime is 89313337. The next prime is 89313379. The reversal of 89313360 is 6331398.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22914 + ... + 26526.

Almost surely, 2^89313360 is an apocalyptic number.

89313360 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 89313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139818432).

89313360 is an abundant number, since it is smaller than the sum of its proper divisors (190323504).

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

89313360 is a wasteful number, since it uses less digits than its factorization.

89313360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 89313360 is about 9450.5745857064. The cubic root of 89313360 is about 446.9978929779.

The spelling of 89313360 in words is "eighty-nine million, three hundred thirteen thousand, three hundred sixty".