90424992 has 144 divisors (see below), whose sum is σ = 282683520. Its totient is φ = 25224192.

The previous prime is 90424981. The next prime is 90425011. The reversal of 90424992 is 29942409.

It is a self number, because there is not a number n which added to its sum of digits gives 90424992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220884 + ... + 221292.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^90424992 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 90424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141341760).

90424992 is an abundant number, since it is smaller than the sum of its proper divisors (192258528).

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

90424992 is a wasteful number, since it uses less digits than its factorization.

90424992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 90424992 is about 9509.2056450578. The cubic root of 90424992 is about 448.8447602639.

The spelling of 90424992 in words is "ninety million, four hundred twenty-four thousand, nine hundred ninety-two".