90815280 has 160 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 23175168.

The previous prime is 90815243. The next prime is 90815299. The reversal of 90815280 is 8251809.

It is a happy number.

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, 936192 + ... + 936288.

Almost surely, 2^90815280 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 90815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

90815280 is an abundant number, since it is smaller than the sum of its proper divisors (203165904).

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

90815280 is a wasteful number, since it uses less digits than its factorization.

90815280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 90815280 is about 9529.7051370963. The cubic root of 90815280 is about 449.4895941381.

The spelling of 90815280 in words is "ninety million, eight hundred fifteen thousand, two hundred eighty".