89523360 has 384 divisors, whose sum is σ = 352719360. Its totient is φ = 21086208.

The previous prime is 89523347. The next prime is 89523361. The reversal of 89523360 is 6332598.

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

It is not an unprimeable number, because it can be changed into a prime (89523361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689094 + ... + 1689146.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 2^89523360 is an apocalyptic number.

89523360 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 89523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359680).

89523360 is an abundant number, since it is smaller than the sum of its proper divisors (263196000).

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

89523360 is a wasteful number, since it uses less digits than its factorization.

89523360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

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

The square root of 89523360 is about 9461.6784980256. The cubic root of 89523360 is about 447.3479566284.

The spelling of 89523360 in words is "eighty-nine million, five hundred twenty-three thousand, three hundred sixty".