90824400 has 90 divisors (see below), whose sum is σ = 315198390. Its totient is φ = 24218880.

The previous prime is 90824399. The next prime is 90824413. The reversal of 90824400 is 442809.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 90782784 = 204^2 + 9528^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9015 + ... + 16214.

Almost surely, 2^90824400 is an apocalyptic number.

90824400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90824400 is an abundant number, since it is smaller than the sum of its proper divisors (224373990).

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

90824400 is a wasteful number, since it uses less digits than its factorization.

90824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25253 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90824400 is about 9530.1836288710. The cubic root of 90824400 is about 449.5046400932.

The spelling of 90824400 in words is "ninety million, eight hundred twenty-four thousand, four hundred".