10792656 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 2975616.

The previous prime is 10792643. The next prime is 10792673. The reversal of 10792656 is 65629701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10792656.

It is a congruent number.

It is an unprimeable number.

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, 129991 + ... + 130073.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 2^10792656 is an apocalyptic number.

10792656 is a gapful number since it is divisible by the number (16) 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 10792656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

10792656 is an abundant number, since it is smaller than the sum of its proper divisors (25871664).

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

10792656 is a wasteful number, since it uses less digits than its factorization.

10792656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10792656 is about 3285.2178009989. The cubic root of 10792656 is about 220.9917757291.

The spelling of 10792656 in words is "ten million, seven hundred ninety-two thousand, six hundred fifty-six".