90793248 has 192 divisors, whose sum is σ = 309335040. Its totient is φ = 22643712.

The previous prime is 90793223. The next prime is 90793249. The reversal of 90793248 is 84239709.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90793249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165711 + ... + 166257.

It is an arithmetic number, because the mean of its divisors is an integer number (1611120).

Almost surely, 2^90793248 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 90793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154667520).

90793248 is an abundant number, since it is smaller than the sum of its proper divisors (218541792).

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

90793248 is a wasteful number, since it uses less digits than its factorization.

90793248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 90793248 is about 9528.5491025654. The cubic root of 90793248 is about 449.4532421215.

The spelling of 90793248 in words is "ninety million, seven hundred ninety-three thousand, two hundred forty-eight".