90799488 has 256 divisors, whose sum is σ = 301593600. Its totient is φ = 26707968.

The previous prime is 90799487. The next prime is 90799549. The reversal of 90799488 is 88499709.

90799488 is a `hidden beast` number, since 90 + 79 + 9 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90799481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931881 + ... + 1931927.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^90799488 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 90799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

90799488 is an abundant number, since it is smaller than the sum of its proper divisors (210794112).

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

90799488 is a wasteful number, since it uses less digits than its factorization.

90799488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 90799488 is about 9528.8765339887. The cubic root of 90799488 is about 449.4635384965.

The spelling of 90799488 in words is "ninety million, seven hundred ninety-nine thousand, four hundred eighty-eight".