13740360 has 64 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 3607296.

The previous prime is 13740359. The next prime is 13740367. The reversal of 13740360 is 6304731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13740360.

It is not an unprimeable number, because it can be changed into a prime (13740367) 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, 7186 + ... + 8894.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 2^13740360 is an apocalyptic number.

13740360 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 13740360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

13740360 is an abundant number, since it is smaller than the sum of its proper divisors (28120440).

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

13740360 is a wasteful number, since it uses less digits than its factorization.

13740360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13740360 is about 3706.7991583036. The cubic root of 13740360 is about 239.5149927490.

The spelling of 13740360 in words is "thirteen million, seven hundred forty thousand, three hundred sixty".