13956640 has 48 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 5287680.

The previous prime is 13956637. The next prime is 13956661. The reversal of 13956640 is 4665931.

It is a junction number, because it is equal to n+sod(n) for n = 13956596 and 13956605.

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 7 ways as a sum of consecutive naturals, for example, 745 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^13956640 is an apocalyptic number.

13956640 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 13956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

13956640 is an abundant number, since it is smaller than the sum of its proper divisors (20758880).

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

13956640 is a wasteful number, since it uses less digits than its factorization.

13956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 13956640 is about 3735.8586697037. The cubic root of 13956640 is about 240.7651506025.

The spelling of 13956640 in words is "thirteen million, nine hundred fifty-six thousand, six hundred forty".