12792096 has 36 divisors (see below), whose sum is σ = 36378342. Its totient is φ = 4263936.

The previous prime is 12792089. The next prime is 12792107. The reversal of 12792096 is 69029721.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 90000 = 3564^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 12792096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21921 + ... + 22496.

Almost surely, 2^12792096 is an apocalyptic number.

12792096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12792096 is an abundant number, since it is smaller than the sum of its proper divisors (23586246).

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

12792096 is a wasteful number, since it uses less digits than its factorization.

12792096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44433 (or 44422 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12792096 is about 3576.6039758408. The cubic root of 12792096 is about 233.8732603176.

It can be divided in two parts, 1279 and 2096, that added together give a cube (3375 = 15³).

The spelling of 12792096 in words is "twelve million, seven hundred ninety-two thousand, ninety-six".