12956160 has 160 divisors (see below), whose sum is σ = 47532672. Its totient is φ = 2949120.

The previous prime is 12956149. The next prime is 12956183. The reversal of 12956160 is 6165921.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 53640 + ... + 53880.

Almost surely, 2^12956160 is an apocalyptic number.

12956160 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 12956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766336).

12956160 is an abundant number, since it is smaller than the sum of its proper divisors (34576512).

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

12956160 is an equidigital number, since it uses as much as digits as its factorization.

12956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12956160 is about 3599.4666271546. The cubic root of 12956160 is about 234.8688569628.

The spelling of 12956160 in words is "twelve million, nine hundred fifty-six thousand, one hundred sixty".