89881680 has 120 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 20541696.

The previous prime is 89881667. The next prime is 89881699. The reversal of 89881680 is 8618898.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7939 + ... + 15581.

Almost surely, 2^89881680 is an apocalyptic number.

89881680 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 89881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

89881680 is an abundant number, since it is smaller than the sum of its proper divisors (234285072).

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

89881680 is a wasteful number, since it uses less digits than its factorization.

89881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 89881680 is about 9480.5949180418. The cubic root of 89881680 is about 447.9440034178.

The spelling of 89881680 in words is "eighty-nine million, eight hundred eighty-one thousand, six hundred eighty".