12946920 has 64 divisors (see below), whose sum is σ = 44392320. Its totient is φ = 2959104.

The previous prime is 12946909. The next prime is 12946931. The reversal of 12946920 is 2964921.

12946920 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 interprime number because it is at equal distance from previous prime (12946909) and next prime (12946931).

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, 6867 + ... + 8546.

It is an arithmetic number, because the mean of its divisors is an integer number (693630).

Almost surely, 2^12946920 is an apocalyptic number.

12946920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12946920 is an abundant number, since it is smaller than the sum of its proper divisors (31445400).

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

12946920 is a wasteful number, since it uses less digits than its factorization.

12946920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15434 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 12946920 is about 3598.1828747300. The cubic root of 12946920 is about 234.8130095422.

The spelling of 12946920 in words is "twelve million, nine hundred forty-six thousand, nine hundred twenty".