13705920 has 84 divisors (see below), whose sum is σ = 47152560. Its totient is φ = 3654144.

The previous prime is 13705919. The next prime is 13705963. The reversal of 13705920 is 2950731.

13705920 is a `hidden beast` number, since 1 + 3 + 70 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (561340).

Almost surely, 2^13705920 is an apocalyptic number.

13705920 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 13705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23576280).

13705920 is an abundant number, since it is smaller than the sum of its proper divisors (33446640).

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

13705920 is a wasteful number, since it uses less digits than its factorization.

13705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13705920 is about 3702.1507262671. The cubic root of 13705920 is about 239.3147117793.

The spelling of 13705920 in words is "thirteen million, seven hundred five thousand, nine hundred twenty".