13456940 has 48 divisors (see below), whose sum is σ = 34003200. Its totient is φ = 4370112.

The previous prime is 13456931. The next prime is 13456943. The reversal of 13456940 is 4965431.

13456940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13456897 and 13456906.

It is not an unprimeable number, because it can be changed into a prime (13456943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (708400).

Almost surely, 2^13456940 is an apocalyptic number.

13456940 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 13456940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001600).

13456940 is an abundant number, since it is smaller than the sum of its proper divisors (20546260).

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

13456940 is a wasteful number, since it uses less digits than its factorization.

13456940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13456940 is about 3668.3702103250. The cubic root of 13456940 is about 237.8567270824.

The spelling of 13456940 in words is "thirteen million, four hundred fifty-six thousand, nine hundred forty".