89555664 has 160 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 25159680.

The previous prime is 89555663. The next prime is 89555671. The reversal of 89555664 is 46655598.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89555663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792472 + ... + 792584.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^89555664 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 89555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

89555664 is an abundant number, since it is smaller than the sum of its proper divisors (181855536).

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

89555664 is a wasteful number, since it uses less digits than its factorization.

89555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 89555664 is about 9463.3854407395. The cubic root of 89555664 is about 447.4017578208.

The spelling of 89555664 in words is "eighty-nine million, five hundred fifty-five thousand, six hundred sixty-four".