90624408 has 64 divisors (see below), whose sum is σ = 267294720. Its totient is φ = 25056000.

The previous prime is 90624403. The next prime is 90624409. The reversal of 90624408 is 80442609.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90624403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3493 + ... + 13908.

It is an arithmetic number, because the mean of its divisors is an integer number (4176480).

Almost surely, 2^90624408 is an apocalyptic number.

It is an amenable number.

90624408 is an abundant number, since it is smaller than the sum of its proper divisors (176670312).

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

90624408 is a wasteful number, since it uses less digits than its factorization.

90624408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448 (or 17444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 90624408 is about 9519.6852889158. The cubic root of 90624408 is about 449.1744667170.

The spelling of 90624408 in words is "ninety million, six hundred twenty-four thousand, four hundred eight".