89579280 has 160 divisors (see below), whose sum is σ = 322265088. Its totient is φ = 20160000.

The previous prime is 89579279. The next prime is 89579299. The reversal of 89579280 is 8297598.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118905 + ... + 119655.

Almost surely, 2^89579280 is an apocalyptic number.

89579280 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 89579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161132544).

89579280 is an abundant number, since it is smaller than the sum of its proper divisors (232685808).

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

89579280 is a wasteful number, since it uses less digits than its factorization.

89579280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 89579280 is about 9464.6331149179. The cubic root of 89579280 is about 447.4410812643.

The spelling of 89579280 in words is "eighty-nine million, five hundred seventy-nine thousand, two hundred eighty".