89032580 has 144 divisors (see below), whose sum is σ = 239065344. Its totient is φ = 27256320.

The previous prime is 89032571. The next prime is 89032591. The reversal of 89032580 is 8523098.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 89032580.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253945 + ... + 1254015.

It is an arithmetic number, because the mean of its divisors is an integer number (1660176).

Almost surely, 2^89032580 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 89032580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119532672).

89032580 is an abundant number, since it is smaller than the sum of its proper divisors (150032764).

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

89032580 is a wasteful number, since it uses less digits than its factorization.

89032580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 89032580 is about 9435.7077106066. The cubic root of 89032580 is about 446.5289828353.

The spelling of 89032580 in words is "eighty-nine million, thirty-two thousand, five hundred eighty".