89985600 has 168 divisors, whose sum is σ = 328188320. Its totient is φ = 23984640.

The previous prime is 89985593. The next prime is 89985619. The reversal of 89985600 is 658998.

89985600 is a `hidden beast` number, since 89 + 9 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42159 + ... + 44241.

Almost surely, 2^89985600 is an apocalyptic number.

89985600 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 89985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094160).

89985600 is an abundant number, since it is smaller than the sum of its proper divisors (238202720).

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

89985600 is a wasteful number, since it uses less digits than its factorization.

89985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 89985600 is about 9486.0740035064. The cubic root of 89985600 is about 448.1165725556.

The spelling of 89985600 in words is "eighty-nine million, nine hundred eighty-five thousand, six hundred".