13956320 has 96 divisors (see below), whose sum is σ = 39953088. Its totient is φ = 4497408.

The previous prime is 13956311. The next prime is 13956329. The reversal of 13956320 is 2365931.

13956320 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13956311) and next prime (13956329).

13956320 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13956329) 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, 18674 + ... + 19406.

It is an arithmetic number, because the mean of its divisors is an integer number (416178).

Almost surely, 2^13956320 is an apocalyptic number.

13956320 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 13956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976544).

13956320 is an abundant number, since it is smaller than the sum of its proper divisors (25996768).

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

13956320 is a wasteful number, since it uses less digits than its factorization.

13956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 13956320 is about 3735.8158412855. The cubic root of 13956320 is about 240.7633104883.

The spelling of 13956320 in words is "thirteen million, nine hundred fifty-six thousand, three hundred twenty".