89180560 has 80 divisors (see below), whose sum is σ = 238663296. Its totient is φ = 30357504.

The previous prime is 89180557. The next prime is 89180579. The reversal of 89180560 is 6508198.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90792 + ... + 91768.

Almost surely, 2^89180560 is an apocalyptic number.

89180560 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 89180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119331648).

89180560 is an abundant number, since it is smaller than the sum of its proper divisors (149482736).

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

89180560 is a wasteful number, since it uses less digits than its factorization.

89180560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 89180560 is about 9443.5459441885. The cubic root of 89180560 is about 446.7762360837.

The spelling of 89180560 in words is "eighty-nine million, one hundred eighty thousand, five hundred sixty".