13613940 has 96 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 3414528.

The previous prime is 13613939. The next prime is 13613947. The reversal of 13613940 is 4931631.

13613940 is a `hidden beast` number, since 1 + 3 + 613 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13613947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8439 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 2^13613940 is an apocalyptic number.

13613940 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 13613940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

13613940 is an abundant number, since it is smaller than the sum of its proper divisors (31262220).

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

13613940 is a wasteful number, since it uses less digits than its factorization.

13613940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13613940 is about 3689.7073054648. The cubic root of 13613940 is about 238.7781652216.

The spelling of 13613940 in words is "thirteen million, six hundred thirteen thousand, nine hundred forty".