12976992 has 144 divisors (see below), whose sum is σ = 43479072. Its totient is φ = 3594240.

The previous prime is 12976961. The next prime is 12976993. The reversal of 12976992 is 29967921.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82578 + ... + 82734.

It is an arithmetic number, because the mean of its divisors is an integer number (301938).

Almost surely, 2^12976992 is an apocalyptic number.

12976992 is a gapful number since it is divisible by the number (12) 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 12976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739536).

12976992 is an abundant number, since it is smaller than the sum of its proper divisors (30502080).

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

12976992 is a wasteful number, since it uses less digits than its factorization.

12976992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 12976992 is about 3602.3592269511. The cubic root of 12976992 is about 234.9946701673.

The spelling of 12976992 in words is "twelve million, nine hundred seventy-six thousand, nine hundred ninety-two".