90268992 has 140 divisors (see below), whose sum is σ = 292095936. Its totient is φ = 27336960.

The previous prime is 90268991. The next prime is 90269009. The reversal of 90268992 is 29986209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90268991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56233 + ... + 57815.

Almost surely, 2^90268992 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 90268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146047968).

90268992 is an abundant number, since it is smaller than the sum of its proper divisors (201826944).

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

90268992 is a wasteful number, since it uses less digits than its factorization.

90268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90268992 is about 9500.9995263656. Note that the first 3 decimals coincide. The cubic root of 90268992 is about 448.5864980091.

The spelling of 90268992 in words is "ninety million, two hundred sixty-eight thousand, nine hundred ninety-two".