13793940 has 72 divisors (see below), whose sum is σ = 42162120. Its totient is φ = 3650304.

The previous prime is 13793929. The next prime is 13793947. The reversal of 13793940 is 4939731.

13793940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 10575504 = 1794^2 + 3252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13793895 and 13793904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35266 + ... + 35654.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 2^13793940 is an apocalyptic number.

13793940 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 13793940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081060).

13793940 is an abundant number, since it is smaller than the sum of its proper divisors (28368180).

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

13793940 is a wasteful number, since it uses less digits than its factorization.

13793940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 13793940 is about 3714.0193860560. The cubic root of 13793940 is about 239.8259154245.

The spelling of 13793940 in words is "thirteen million, seven hundred ninety-three thousand, nine hundred forty".