12792516 has 48 divisors (see below), whose sum is σ = 32793600. Its totient is φ = 3849120.

The previous prime is 12792499. The next prime is 12792523. The reversal of 12792516 is 61529721.

It is a super-2 number, since 2×12792516² = 327296931220512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26025 + ... + 26511.

It is an arithmetic number, because the mean of its divisors is an integer number (683200).

Almost surely, 2^12792516 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 12792516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396800).

12792516 is an abundant number, since it is smaller than the sum of its proper divisors (20001084).

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

12792516 is a wasteful number, since it uses less digits than its factorization.

12792516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 12792516 is about 3576.6626902743. The cubic root of 12792516 is about 233.8758198589.

The spelling of 12792516 in words is "twelve million, seven hundred ninety-two thousand, five hundred sixteen".