90945792 has 108 divisors (see below), whose sum is σ = 299732160. Its totient is φ = 25979904.

The previous prime is 90945781. The next prime is 90945793. The reversal of 90945792 is 29754909.

It is a super-2 number, since 2×90945792² = 16542274165014528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90945793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13309 + ... + 18947.

Almost surely, 2^90945792 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 90945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149866080).

90945792 is an abundant number, since it is smaller than the sum of its proper divisors (208786368).

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

90945792 is a wasteful number, since it uses less digits than its factorization.

90945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 90945792 is about 9536.5503196911. The cubic root of 90945792 is about 449.7048138167.

The spelling of 90945792 in words is "ninety million, nine hundred forty-five thousand, seven hundred ninety-two".