90058400 has 36 divisors (see below), whose sum is σ = 219857022. Its totient is φ = 36023040.

The previous prime is 90058399. The next prime is 90058417. The reversal of 90058400 is 485009.

It can be written as a sum of positive squares in 3 ways, for example, as 71842576 + 18215824 = 8476^2 + 4268^2 .

It is a super-2 number, since 2×90058400² = 16221030821120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90058400.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55487 + ... + 57086.

Almost surely, 2^90058400 is an apocalyptic number.

It is an amenable number.

90058400 is an abundant number, since it is smaller than the sum of its proper divisors (129798622).

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

90058400 is a wasteful number, since it uses less digits than its factorization.

90058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112593 (or 112580 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 90058400 is about 9489.9104316110. The cubic root of 90058400 is about 448.2373848223.

The spelling of 90058400 in words is "ninety million, fifty-eight thousand, four hundred".