90904032 has 120 divisors (see below), whose sum is σ = 283209696. Its totient is φ = 28505088.

The previous prime is 90904003. The next prime is 90904081. The reversal of 90904032 is 23040909.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90903987 and 90904005.

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 19 ways as a sum of consecutive naturals, for example, 43033 + ... + 45095.

Almost surely, 2^90904032 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 90904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141604848).

90904032 is an abundant number, since it is smaller than the sum of its proper divisors (192305664).

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

90904032 is a wasteful number, since it uses less digits than its factorization.

90904032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2085 counting only the distinct ones).

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

The square root of 90904032 is about 9534.3605973343. The cubic root of 90904032 is about 449.6359722656.

The spelling of 90904032 in words is "ninety million, nine hundred four thousand, thirty-two".