13734960 has 80 divisors (see below), whose sum is σ = 42973440. Its totient is φ = 3628800.

The previous prime is 13734913. The next prime is 13735013. The reversal of 13734960 is 6943731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36051 + ... + 36429.

It is an arithmetic number, because the mean of its divisors is an integer number (537168).

Almost surely, 2^13734960 is an apocalyptic number.

13734960 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 13734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486720).

13734960 is an abundant number, since it is smaller than the sum of its proper divisors (29238480).

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

13734960 is a wasteful number, since it uses less digits than its factorization.

13734960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13734960 is about 3706.0706954941. The cubic root of 13734960 is about 239.4836119498.

The spelling of 13734960 in words is "thirteen million, seven hundred thirty-four thousand, nine hundred sixty".