89379920 has 90 divisors (see below), whose sum is σ = 243347706. Its totient is φ = 30441600.

The previous prime is 89379907. The next prime is 89379937. The reversal of 89379920 is 2997398.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 17875984 = 8456^2 + 4228^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 591845 + ... + 591995.

Almost surely, 2^89379920 is an apocalyptic number.

89379920 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 89379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121673853).

89379920 is an abundant number, since it is smaller than the sum of its proper divisors (153967786).

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

89379920 is a wasteful number, since it uses less digits than its factorization.

89379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 89379920 is about 9454.0954088691. The cubic root of 89379920 is about 447.1089058281.

The spelling of 89379920 in words is "eighty-nine million, three hundred seventy-nine thousand, nine hundred twenty".