90052704 has 144 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 24364800.

The previous prime is 90052693. The next prime is 90052733. The reversal of 90052704 is 40725009.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37129 + ... + 39479.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^90052704 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 90052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

90052704 is an abundant number, since it is smaller than the sum of its proper divisors (218153376).

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

90052704 is a wasteful number, since it uses less digits than its factorization.

90052704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90052704 is about 9489.6103186590. The cubic root of 90052704 is about 448.2279346064.

The spelling of 90052704 in words is "ninety million, fifty-two thousand, seven hundred four".