12992960 has 56 divisors (see below), whose sum is σ = 32583120. Its totient is φ = 4921344.

The previous prime is 12992933. The next prime is 12992971. The reversal of 12992960 is 6929921.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5012 + ... + 7148.

Almost surely, 2^12992960 is an apocalyptic number.

12992960 is a gapful number since it is divisible by the number (10) 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 12992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291560).

12992960 is an abundant number, since it is smaller than the sum of its proper divisors (19590160).

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

12992960 is a wasteful number, since it uses less digits than its factorization.

12992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 12992960 is about 3604.5748709106. The cubic root of 12992960 is about 235.0910165023.

The spelling of 12992960 in words is "twelve million, nine hundred ninety-two thousand, nine hundred sixty".