8792640 has 168 divisors, whose sum is σ = 31382208. Its totient is φ = 2257920.

The previous prime is 8792627. The next prime is 8792657. The reversal of 8792640 is 462978.

8792640 is a `hidden beast` number, since 8 + 7 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8792595 and 8792604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123805 + ... + 123875.

Almost surely, 2^8792640 is an apocalyptic number.

8792640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691104).

8792640 is an abundant number, since it is smaller than the sum of its proper divisors (22589568).

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

8792640 is a wasteful number, since it uses less digits than its factorization.

8792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8792640 is about 2965.2386075997. The cubic root of 8792640 is about 206.3984496008.

The spelling of 8792640 in words is "eight million, seven hundred ninety-two thousand, six hundred forty".