90768032 has 24 divisors (see below), whose sum is σ = 189212436. Its totient is φ = 42714112.

The previous prime is 90768023. The next prime is 90768037. The reversal of 90768032 is 23086709.

It can be written as a sum of positive squares in 2 ways, for example, as 87684496 + 3083536 = 9364^2 + 1756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90767983 and 90768001.

It is not an unprimeable number, because it can be changed into a prime (90768037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82883 + ... + 83970.

Almost surely, 2^90768032 is an apocalyptic number.

It is an amenable number.

90768032 is an abundant number, since it is smaller than the sum of its proper divisors (98444404).

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

90768032 is a wasteful number, since it uses less digits than its factorization.

90768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166880 (or 166872 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 90768032 is about 9527.2258291698. The cubic root of 90768032 is about 449.4116294004.

The spelling of 90768032 in words is "ninety million, seven hundred sixty-eight thousand, thirty-two".