13955760 has 320 divisors, whose sum is σ = 59996160. Its totient is φ = 2903040.

The previous prime is 13955749. The next prime is 13955761. The reversal of 13955760 is 6755931.

It is a happy number.

13955760 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (13955761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196525 + ... + 196595.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^13955760 is an apocalyptic number.

13955760 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 13955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

13955760 is an abundant number, since it is smaller than the sum of its proper divisors (46040400).

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

13955760 is a wasteful number, since it uses less digits than its factorization.

13955760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 13955760 is about 3735.7408903724. The cubic root of 13955760 is about 240.7600902206.

The spelling of 13955760 in words is "thirteen million, nine hundred fifty-five thousand, seven hundred sixty".