90049792 has 72 divisors (see below), whose sum is σ = 212183552. Its totient is φ = 37324800.

The previous prime is 90049781. The next prime is 90049831. The reversal of 90049792 is 29794009.

It is a congruent number.

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, 54742 + ... + 56362.

Almost surely, 2^90049792 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 90049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106091776).

90049792 is an abundant number, since it is smaller than the sum of its proper divisors (122133760).

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

90049792 is a wasteful number, since it uses less digits than its factorization.

90049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 90049792 is about 9489.4568864609. The cubic root of 90049792 is about 448.2231031623.

The spelling of 90049792 in words is "ninety million, forty-nine thousand, seven hundred ninety-two".