89857680 has 160 divisors (see below), whose sum is σ = 307801728. Its totient is φ = 21504000.

The previous prime is 89857679. The next prime is 89857687. The reversal of 89857680 is 8675898.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89857687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266472 + ... + 266808.

Almost surely, 2^89857680 is an apocalyptic number.

89857680 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 89857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900864).

89857680 is an abundant number, since it is smaller than the sum of its proper divisors (217944048).

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

89857680 is a wasteful number, since it uses less digits than its factorization.

89857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 89857680 is about 9479.3290901835. The cubic root of 89857680 is about 447.9041302086.

The spelling of 89857680 in words is "eighty-nine million, eight hundred fifty-seven thousand, six hundred eighty".