12966540 has 48 divisors (see below), whose sum is σ = 36523872. Its totient is φ = 3437056.

The previous prime is 12966497. The next prime is 12966557. The reversal of 12966540 is 4566921.

12966540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 11272 + ... + 12368.

It is an arithmetic number, because the mean of its divisors is an integer number (760914).

Almost surely, 2^12966540 is an apocalyptic number.

12966540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12966540 is an abundant number, since it is smaller than the sum of its proper divisors (23557332).

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

12966540 is a wasteful number, since it uses less digits than its factorization.

12966540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

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

The square root of 12966540 is about 3600.9082187693. The cubic root of 12966540 is about 234.9315629900.

The spelling of 12966540 in words is "twelve million, nine hundred sixty-six thousand, five hundred forty".