12897940 has 48 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 4484480.

The previous prime is 12897919. The next prime is 12897961. The reversal of 12897940 is 4979821.

12897940 = 457² + 458² + ... + 511².

It is an interprime number because it is at equal distance from previous prime (12897919) and next prime (12897961).

It is a junction number, because it is equal to n+sod(n) for n = 12897893 and 12897902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3786 + ... + 6334.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^12897940 is an apocalyptic number.

12897940 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 12897940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

12897940 is an abundant number, since it is smaller than the sum of its proper divisors (17946860).

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

12897940 is a wasteful number, since it uses less digits than its factorization.

12897940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 12897940 is about 3591.3702120500. The cubic root of 12897940 is about 234.5165252500.

It can be divided in two parts, 1289 and 7940, that added together give a palindrome (9229).

The spelling of 12897940 in words is "twelve million, eight hundred ninety-seven thousand, nine hundred forty".