90684320 has 48 divisors (see below), whose sum is σ = 215110728. Its totient is φ = 36126720.

The previous prime is 90684313. The next prime is 90684343. The reversal of 90684320 is 2348609.

It can be written as a sum of positive squares in 4 ways, for example, as 87684496 + 2999824 = 9364^2 + 1732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 43952 + ... + 45968.

Almost surely, 2^90684320 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 90684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107555364).

90684320 is an abundant number, since it is smaller than the sum of its proper divisors (124426408).

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

90684320 is a wasteful number, since it uses less digits than its factorization.

90684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 90684320 is about 9522.8315116881. The cubic root of 90684320 is about 449.2734283291.

The spelling of 90684320 in words is "ninety million, six hundred eighty-four thousand, three hundred twenty".