12546960 has 80 divisors (see below), whose sum is σ = 40604544. Its totient is φ = 3198976.

The previous prime is 12546949. The next prime is 12546977. The reversal of 12546960 is 6964521.

It is a tau number, because it is divible by the number of its divisors (80).

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, 4384 + ... + 6656.

Almost surely, 2^12546960 is an apocalyptic number.

12546960 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 12546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302272).

12546960 is an abundant number, since it is smaller than the sum of its proper divisors (28057584).

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

12546960 is a wasteful number, since it uses less digits than its factorization.

12546960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12546960 is about 3542.1688271453. The cubic root of 12546960 is about 232.3697038467.

The spelling of 12546960 in words is "twelve million, five hundred forty-six thousand, nine hundred sixty".