89564160 has 352 divisors, whose sum is σ = 353721600. Its totient is φ = 19267584.

The previous prime is 89564107. The next prime is 89564179. The reversal of 89564160 is 6146598.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268472 + ... + 5268488.

Almost surely, 2^89564160 is an apocalyptic number.

89564160 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 89564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176860800).

89564160 is an abundant number, since it is smaller than the sum of its proper divisors (264157440).

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

89564160 is a wasteful number, since it uses less digits than its factorization.

89564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 89564160 is about 9463.8343180764. The cubic root of 89564160 is about 447.4159054654.

The spelling of 89564160 in words is "eighty-nine million, five hundred sixty-four thousand, one hundred sixty".