12957240 has 64 divisors (see below), whose sum is σ = 40924800. Its totient is φ = 3272832.

The previous prime is 12957239. The next prime is 12957251. The reversal of 12957240 is 4275921.

12957240 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 a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12957198 and 12957207.

It is a congruent number.

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, 562 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 2^12957240 is an apocalyptic number.

12957240 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 12957240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462400).

12957240 is an abundant number, since it is smaller than the sum of its proper divisors (27967560).

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

12957240 is a wasteful number, since it uses less digits than its factorization.

12957240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12957240 is about 3599.6166462555. The cubic root of 12957240 is about 234.8753828501.

The spelling of 12957240 in words is "twelve million, nine hundred fifty-seven thousand, two hundred forty".