12992616 has 128 divisors (see below), whose sum is σ = 44486400. Its totient is φ = 3421440.

The previous prime is 12992611. The next prime is 12992621. The reversal of 12992616 is 61629921.

It is an interprime number because it is at equal distance from previous prime (12992611) and next prime (12992621).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12992611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19326 + ... + 19986.

It is an arithmetic number, because the mean of its divisors is an integer number (347550).

Almost surely, 2^12992616 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 12992616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243200).

12992616 is an abundant number, since it is smaller than the sum of its proper divisors (31493784).

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

12992616 is a wasteful number, since it uses less digits than its factorization.

12992616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12992616 is about 3604.5271534558. The cubic root of 12992616 is about 235.0889417371.

The spelling of 12992616 in words is "twelve million, nine hundred ninety-two thousand, six hundred sixteen".