89116320 has 192 divisors, whose sum is σ = 297851904. Its totient is φ = 22364160.

The previous prime is 89116319. The next prime is 89116331. The reversal of 89116320 is 2361198.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788584 + ... + 788696.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^89116320 is an apocalyptic number.

89116320 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 89116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

89116320 is an abundant number, since it is smaller than the sum of its proper divisors (208735584).

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

89116320 is a wasteful number, since it uses less digits than its factorization.

89116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89116320 is about 9440.1440666973. The cubic root of 89116320 is about 446.6689339258.

The spelling of 89116320 in words is "eighty-nine million, one hundred sixteen thousand, three hundred twenty".