89972568 has 96 divisors (see below), whose sum is σ = 294896160. Its totient is φ = 24192000.

The previous prime is 89972537. The next prime is 89972591. The reversal of 89972568 is 86527998.

It is a happy number.

89972568 is a `hidden beast` number, since 8 + 9 + 9 + 72 + 568 = 666.

It is a congruent number.

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, 3318 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (3071835).

Almost surely, 2^89972568 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 89972568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147448080).

89972568 is an abundant number, since it is smaller than the sum of its proper divisors (204923592).

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

89972568 is a wasteful number, since it uses less digits than its factorization.

89972568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10530 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 89972568 is about 9485.3870769727. The cubic root of 89972568 is about 448.0949389568.

The spelling of 89972568 in words is "eighty-nine million, nine hundred seventy-two thousand, five hundred sixty-eight".