89376560 has 80 divisors (see below), whose sum is σ = 255775296. Its totient is φ = 28283904.

The previous prime is 89376527. The next prime is 89376577. The reversal of 89376560 is 6567398.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1142 + ... + 13418.

Almost surely, 2^89376560 is an apocalyptic number.

89376560 is a gapful number since it is divisible by the number (80) 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 89376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887648).

89376560 is an abundant number, since it is smaller than the sum of its proper divisors (166398736).

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

89376560 is a wasteful number, since it uses less digits than its factorization.

89376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 89376560 is about 9453.9177064326. The cubic root of 89376560 is about 447.1033031351.

The spelling of 89376560 in words is "eighty-nine million, three hundred seventy-six thousand, five hundred sixty".