90792640 has 112 divisors (see below), whose sum is σ = 231343200. Its totient is φ = 33841152.

The previous prime is 90792623. The next prime is 90792643. The reversal of 90792640 is 4629709.

It is a self number, because there is not a number n which added to its sum of digits gives 90792640.

It is not an unprimeable number, because it can be changed into a prime (90792643) 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 15 ways as a sum of consecutive naturals, for example, 662652 + ... + 662788.

Almost surely, 2^90792640 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 90792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115671600).

90792640 is an abundant number, since it is smaller than the sum of its proper divisors (140550560).

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

90792640 is a wasteful number, since it uses less digits than its factorization.

90792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 90792640 is about 9528.5171983893. The cubic root of 90792640 is about 449.4522388597.

The spelling of 90792640 in words is "ninety million, seven hundred ninety-two thousand, six hundred forty".