90866880 has 224 divisors, whose sum is σ = 345643200. Its totient is φ = 22339584.

The previous prime is 90866879. The next prime is 90866917. The reversal of 90866880 is 8866809.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111916 + ... + 112724.

It is an arithmetic number, because the mean of its divisors is an integer number (1543050).

Almost surely, 2^90866880 is an apocalyptic number.

90866880 is a gapful number since it is divisible by the number (90) 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 90866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

90866880 is an abundant number, since it is smaller than the sum of its proper divisors (254776320).

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

90866880 is a wasteful number, since it uses less digits than its factorization.

90866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 90866880 is about 9532.4120766992. The cubic root of 90866880 is about 449.5747092996.

The spelling of 90866880 in words is "ninety million, eight hundred sixty-six thousand, eight hundred eighty".