13955040 has 144 divisors (see below), whose sum is σ = 52009776. Its totient is φ = 3379200.

The previous prime is 13955027. The next prime is 13955057. The reversal of 13955040 is 4055931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 13954995 and 13955013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15400 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^13955040 is an apocalyptic number.

13955040 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 13955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004888).

13955040 is an abundant number, since it is smaller than the sum of its proper divisors (38054736).

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

13955040 is a wasteful number, since it uses less digits than its factorization.

13955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13955040 is about 3735.6445227029. The cubic root of 13955040 is about 240.7559497499.

The spelling of 13955040 in words is "thirteen million, nine hundred fifty-five thousand, forty".