89958080 has 56 divisors (see below), whose sum is σ = 215450928. Its totient is φ = 35775488.

The previous prime is 89958079. The next prime is 89958109. The reversal of 89958080 is 8085998.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62327 + ... + 63753.

It is an arithmetic number, because the mean of its divisors is an integer number (3847338).

Almost surely, 2^89958080 is an apocalyptic number.

89958080 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 89958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107725464).

89958080 is an abundant number, since it is smaller than the sum of its proper divisors (125492848).

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

89958080 is a wasteful number, since it uses less digits than its factorization.

89958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The square root of 89958080 is about 9484.6233451835. The cubic root of 89958080 is about 448.0708858922.

The spelling of 89958080 in words is "eighty-nine million, nine hundred fifty-eight thousand, eighty".