90001408 has 104 divisors (see below), whose sum is σ = 213359168. Its totient is φ = 37158912.

The previous prime is 90001399. The next prime is 90001433. The reversal of 90001408 is 80410009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232860 + ... + 1232932.

Almost surely, 2^90001408 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 90001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106679584).

90001408 is an abundant number, since it is smaller than the sum of its proper divisors (123357760).

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

90001408 is an equidigital number, since it uses as much as digits as its factorization.

90001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 90001408 is about 9486.9071883307. The cubic root of 90001408 is about 448.1428116131.

It can be divided in two parts, 90001 and 408, that added together give a palindrome (90409).

The spelling of 90001408 in words is "ninety million, one thousand, four hundred eight".