12952960 has 64 divisors (see below), whose sum is σ = 31860720. Its totient is φ = 5031936.

The previous prime is 12952957. The next prime is 12952967. The reversal of 12952960 is 6925921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23407 + ... + 23953.

Almost surely, 2^12952960 is an apocalyptic number.

12952960 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 12952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930360).

12952960 is an abundant number, since it is smaller than the sum of its proper divisors (18907760).

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

12952960 is an equidigital number, since it uses as much as digits as its factorization.

12952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 12952960 is about 3599.0220894015. The cubic root of 12952960 is about 234.8495188712.

The spelling of 12952960 in words is "twelve million, nine hundred fifty-two thousand, nine hundred sixty".