13839540 has 96 divisors (see below), whose sum is σ = 45553536. Its totient is φ = 3095040.

The previous prime is 13839523. The next prime is 13839557. The reversal of 13839540 is 4593831.

13839540 is digitally balanced in base 2, because in such base 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 (13839523) and next prime (13839557).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7774 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (474516).

Almost surely, 2^13839540 is an apocalyptic number.

13839540 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 13839540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776768).

13839540 is an abundant number, since it is smaller than the sum of its proper divisors (31713996).

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

13839540 is a wasteful number, since it uses less digits than its factorization.

13839540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13839540 is about 3720.1532226509. The cubic root of 13839540 is about 240.0898968786.

The spelling of 13839540 in words is "thirteen million, eight hundred thirty-nine thousand, five hundred forty".