13761960 has 64 divisors (see below), whose sum is σ = 41878080. Its totient is φ = 3617280.

The previous prime is 13761953. The next prime is 13761961. The reversal of 13761960 is 6916731.

It is not an unprimeable number, because it can be changed into a prime (13761961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7975 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (654345).

Almost surely, 2^13761960 is an apocalyptic number.

13761960 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 13761960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939040).

13761960 is an abundant number, since it is smaller than the sum of its proper divisors (28116120).

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

13761960 is a wasteful number, since it uses less digits than its factorization.

13761960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13761960 is about 3709.7115790854. The cubic root of 13761960 is about 239.6404337918.

The spelling of 13761960 in words is "thirteen million, seven hundred sixty-one thousand, nine hundred sixty".