89616464 has 80 divisors (see below), whose sum is σ = 218081280. Its totient is φ = 34784640.

The previous prime is 89616427. The next prime is 89616493. The reversal of 89616464 is 46461698.

It is a super-2 number, since 2×89616464² = 16062221239726592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48029 + ... + 49859.

It is an arithmetic number, because the mean of its divisors is an integer number (2726016).

Almost surely, 2^89616464 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 89616464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109040640).

89616464 is an abundant number, since it is smaller than the sum of its proper divisors (128464816).

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

89616464 is a wasteful number, since it uses less digits than its factorization.

89616464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 89616464 is about 9466.5972767410. The cubic root of 89616464 is about 447.5029830331.

The spelling of 89616464 in words is "eighty-nine million, six hundred sixteen thousand, four hundred sixty-four".