13503760 has 80 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 5012480.

The previous prime is 13503757. The next prime is 13503761. The reversal of 13503760 is 6730531.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13503761) 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, 75351 + ... + 75529.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^13503760 is an apocalyptic number.

13503760 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 13503760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13503760 is an abundant number, since it is smaller than the sum of its proper divisors (20244080).

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

13503760 is a wasteful number, since it uses less digits than its factorization.

13503760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 13503760 is about 3674.7462497430. The cubic root of 13503760 is about 238.1322617727.

The spelling of 13503760 in words is "thirteen million, five hundred three thousand, seven hundred sixty".