89065600 has 96 divisors (see below), whose sum is σ = 237055140. Its totient is φ = 32870400.

The previous prime is 89065553. The next prime is 89065607. The reversal of 89065600 is 656098.

It can be written as a sum of positive squares in 6 ways, for example, as 39841344 + 49224256 = 6312^2 + 7016^2 .

It is a super-2 number, since 2×89065600² = 15865362206720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89065607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40530 + ... + 42670.

Almost surely, 2^89065600 is an apocalyptic number.

89065600 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 89065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118527570).

89065600 is an abundant number, since it is smaller than the sum of its proper divisors (147989540).

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

89065600 is a wasteful number, since it uses less digits than its factorization.

89065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 89065600 is about 9437.4572846715. The cubic root of 89065600 is about 446.5841782279.

The spelling of 89065600 in words is "eighty-nine million, sixty-five thousand, six hundred".