12966840 has 96 divisors (see below), whose sum is σ = 42588000. Its totient is φ = 3421440.

The previous prime is 12966817. The next prime is 12966847. The reversal of 12966840 is 4866921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12966795 and 12966804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65061 + ... + 65259.

It is an arithmetic number, because the mean of its divisors is an integer number (443625).

Almost surely, 2^12966840 is an apocalyptic number.

12966840 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 12966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294000).

12966840 is an abundant number, since it is smaller than the sum of its proper divisors (29621160).

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

12966840 is a wasteful number, since it uses less digits than its factorization.

12966840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12966840 is about 3600.9498746858. The cubic root of 12966840 is about 234.9333748052.

The spelling of 12966840 in words is "twelve million, nine hundred sixty-six thousand, eight hundred forty".