89814564 has 72 divisors (see below), whose sum is σ = 267857408. Its totient is φ = 24831360.

The previous prime is 89814551. The next prime is 89814589. The reversal of 89814564 is 46541898.

89814564 is a `hidden beast` number, since 8 + 9 + 81 + 4 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064 + ... + 13560.

Almost surely, 2^89814564 is an apocalyptic number.

89814564 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 89814564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133928704).

89814564 is an abundant number, since it is smaller than the sum of its proper divisors (178042844).

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

89814564 is a wasteful number, since it uses less digits than its factorization.

89814564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11540 counting only the distinct ones).

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

The square root of 89814564 is about 9477.0546057306. The cubic root of 89814564 is about 447.8324801501.

The spelling of 89814564 in words is "eighty-nine million, eight hundred fourteen thousand, five hundred sixty-four".