90900432 has 120 divisors (see below), whose sum is σ = 300218880. Its totient is φ = 25125120.

The previous prime is 90900421. The next prime is 90900451. The reversal of 90900432 is 23400909.

It is a junction number, because it is equal to n+sod(n) for n = 90900396 and 90900405.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29794 + ... + 32702.

It is an arithmetic number, because the mean of its divisors is an integer number (2501824).

Almost surely, 2^90900432 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 90900432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150109440).

90900432 is an abundant number, since it is smaller than the sum of its proper divisors (209318448).

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

90900432 is a wasteful number, since it uses less digits than its factorization.

90900432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90900432 is about 9534.1718046194. The cubic root of 90900432 is about 449.6300366622.

The spelling of 90900432 in words is "ninety million, nine hundred thousand, four hundred thirty-two".