90815580 has 120 divisors (see below), whose sum is σ = 289877280. Its totient is φ = 23794560.

The previous prime is 90815567. The next prime is 90815591. The reversal of 90815580 is 8551809.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98361 + ... + 99279.

It is an arithmetic number, because the mean of its divisors is an integer number (2415644).

Almost surely, 2^90815580 is an apocalyptic number.

90815580 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 90815580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144938640).

90815580 is an abundant number, since it is smaller than the sum of its proper divisors (199061700).

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

90815580 is a wasteful number, since it uses less digits than its factorization.

90815580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 90815580 is about 9529.7208773395. The cubic root of 90815580 is about 449.4900890868.

The spelling of 90815580 in words is "ninety million, eight hundred fifteen thousand, five hundred eighty".