90404832 has 96 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 24933888.

The previous prime is 90404819. The next prime is 90404837. The reversal of 90404832 is 23840409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 90404832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90404837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17169 + ... + 21807.

It is an arithmetic number, because the mean of its divisors is an integer number (2923200).

Almost surely, 2^90404832 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 90404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

90404832 is an abundant number, since it is smaller than the sum of its proper divisors (190222368).

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

90404832 is a wasteful number, since it uses less digits than its factorization.

90404832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 90404832 is about 9508.1455605181. The cubic root of 90404832 is about 448.8114015552.

The spelling of 90404832 in words is "ninety million, four hundred four thousand, eight hundred thirty-two".