90970880 has 288 divisors, whose sum is σ = 296690688. Its totient is φ = 25804800.

The previous prime is 90970871. The next prime is 90970903. The reversal of 90970880 is 8807909.

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, 1281245 + ... + 1281315.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 2^90970880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).

90970880 is an abundant number, since it is smaller than the sum of its proper divisors (205719808).

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

90970880 is a wasteful number, since it uses less digits than its factorization.

90970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 90970880 is about 9537.8655893234. The cubic root of 90970880 is about 449.7461613669.

The spelling of 90970880 in words is "ninety million, nine hundred seventy thousand, eight hundred eighty".