89518464 has 192 divisors, whose sum is σ = 312193440. Its totient is φ = 24035328.

The previous prime is 89518441. The next prime is 89518501. The reversal of 89518464 is 46481598.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×89518464³ (a number of 25 digits) contains 333 as substring.

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, 136762 + ... + 137414.

Almost surely, 2^89518464 is an apocalyptic number.

89518464 is a gapful number since it is divisible by the number (84) 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 89518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156096720).

89518464 is an abundant number, since it is smaller than the sum of its proper divisors (222674976).

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

89518464 is a wasteful number, since it uses less digits than its factorization.

89518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 89518464 is about 9461.4197666101. The cubic root of 89518464 is about 447.3398013807.

The spelling of 89518464 in words is "eighty-nine million, five hundred eighteen thousand, four hundred sixty-four".