89563320 has 320 divisors, whose sum is σ = 376358400. Its totient is φ = 18558720.

The previous prime is 89563297. The next prime is 89563343. The reversal of 89563320 is 2336598.

It is an interprime number because it is at equal distance from previous prime (89563297) and next prime (89563343).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249301 + ... + 249659.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^89563320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89563320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

89563320 is an abundant number, since it is smaller than the sum of its proper divisors (286795080).

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

89563320 is a wasteful number, since it uses less digits than its factorization.

89563320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 89563320 is about 9463.7899384972. The cubic root of 89563320 is about 447.4145067269.

The spelling of 89563320 in words is "eighty-nine million, five hundred sixty-three thousand, three hundred twenty".