13740840 has 80 divisors (see below), whose sum is σ = 46195380. Its totient is φ = 3663360.

The previous prime is 13740823. The next prime is 13740841. The reversal of 13740840 is 4804731.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 910116 = 3582^2 + 954^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13740841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1120 + ... + 5360.

Almost surely, 2^13740840 is an apocalyptic number.

13740840 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 13740840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097690).

13740840 is an abundant number, since it is smaller than the sum of its proper divisors (32454540).

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

13740840 is a wasteful number, since it uses less digits than its factorization.

13740840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13740840 is about 3706.8639036253. The cubic root of 13740840 is about 239.5177817554.

The spelling of 13740840 in words is "thirteen million, seven hundred forty thousand, eight hundred forty".