89568000 has 216 divisors, whose sum is σ = 323328096. Its totient is φ = 23808000.

The previous prime is 89567993. The next prime is 89568001. The reversal of 89568000 is 86598.

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 (89568001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287845 + ... + 288155.

Almost surely, 2^89568000 is an apocalyptic number.

89568000 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 89568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161664048).

89568000 is an abundant number, since it is smaller than the sum of its proper divisors (233760096).

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

89568000 is a wasteful number, since it uses less digits than its factorization.

89568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89568000 is about 9464.0371935026. The cubic root of 89568000 is about 447.4222995875.

The spelling of 89568000 in words is "eighty-nine million, five hundred sixty-eight thousand".