13735640 has 16 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 5494240.

The previous prime is 13735633. The next prime is 13735663. The reversal of 13735640 is 4653731.

13735640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171656 + ... + 171735.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 2^13735640 is an apocalyptic number.

13735640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735640 is an abundant number, since it is smaller than the sum of its proper divisors (17169640).

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

13735640 is a wasteful number, since it uses less digits than its factorization.

13735640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343402 (or 343398 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 13735640 is about 3706.1624357278. The cubic root of 13735640 is about 239.4875640586.

The spelling of 13735640 in words is "thirteen million, seven hundred thirty-five thousand, six hundred forty".