89045568 has 140 divisors (see below), whose sum is σ = 268307820. Its totient is φ = 29196288.

The previous prime is 89045557. The next prime is 89045597. The reversal of 89045568 is 86554098.

89045568 is a `hidden beast` number, since 8 + 90 + 4 + 556 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 69755904 = 4392^2 + 8352^2 .

It is a super-2 number, since 2×89045568² = 15858226360885248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461280 + ... + 461472.

Almost surely, 2^89045568 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 89045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134153910).

89045568 is an abundant number, since it is smaller than the sum of its proper divisors (179262252).

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

89045568 is a wasteful number, since it uses less digits than its factorization.

89045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 89045568 is about 9436.3959221728. The cubic root of 89045568 is about 446.5506948739.

The spelling of 89045568 in words is "eighty-nine million, forty-five thousand, five hundred sixty-eight".