89881920 has 224 divisors, whose sum is σ = 323331840. Its totient is φ = 23500800.

The previous prime is 89881903. The next prime is 89881921. The reversal of 89881920 is 2918898.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89881921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872589 + ... + 872691.

Almost surely, 2^89881920 is an apocalyptic number.

89881920 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 89881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

89881920 is an abundant number, since it is smaller than the sum of its proper divisors (233449920).

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

89881920 is a wasteful number, since it uses less digits than its factorization.

89881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 89881920 is about 9480.6075754669. The cubic root of 89881920 is about 447.9444021141.

The spelling of 89881920 in words is "eighty-nine million, eight hundred eighty-one thousand, nine hundred twenty".