89882560 has 28 divisors (see below), whose sum is σ = 214033608. Its totient is φ = 35952896.

The previous prime is 89882531. The next prime is 89882561. The reversal of 89882560 is 6528898.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89882560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89882561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140122 + ... + 140761.

Almost surely, 2^89882560 is an apocalyptic number.

89882560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89882560 is an abundant number, since it is smaller than the sum of its proper divisors (124151048).

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

89882560 is a wasteful number, since it uses less digits than its factorization.

89882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280900 (or 280890 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 89882560 is about 9480.6413285178. The cubic root of 89882560 is about 447.9454653006.

The spelling of 89882560 in words is "eighty-nine million, eight hundred eighty-two thousand, five hundred sixty".