89576352 has 72 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 28558464.

The previous prime is 89576341. The next prime is 89576363. The reversal of 89576352 is 25367598.

It is a happy number.

89576352 is a `hidden beast` number, since 8 + 9 + 5 + 7 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (89576341) and next prime (89576363).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 89576298 and 89576307.

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 11 ways as a sum of consecutive naturals, for example, 138 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (3692052).

Almost surely, 2^89576352 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 89576352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

89576352 is an abundant number, since it is smaller than the sum of its proper divisors (176251392).

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

89576352 is a wasteful number, since it uses less digits than its factorization.

89576352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13551 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 89576352 is about 9464.4784325392. The cubic root of 89576352 is about 447.4362061721.

The spelling of 89576352 in words is "eighty-nine million, five hundred seventy-six thousand, three hundred fifty-two".