12927640 has 48 divisors (see below), whose sum is σ = 31983840. Its totient is φ = 4699200.

The previous prime is 12927631. The next prime is 12927641. The reversal of 12927640 is 4672921.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12927641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3505 + ... + 6175.

It is an arithmetic number, because the mean of its divisors is an integer number (666330).

Almost surely, 2^12927640 is an apocalyptic number.

12927640 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 12927640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991920).

12927640 is an abundant number, since it is smaller than the sum of its proper divisors (19056200).

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

12927640 is a wasteful number, since it uses less digits than its factorization.

12927640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 12927640 is about 3595.5027464876. The cubic root of 12927640 is about 234.6963938035.

The spelling of 12927640 in words is "twelve million, nine hundred twenty-seven thousand, six hundred forty".