13757640 has 64 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 3386112.

The previous prime is 13757621. The next prime is 13757647. The reversal of 13757640 is 4675731.

13757640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13757647) 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, 2850 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 2^13757640 is an apocalyptic number.

13757640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13757640 is an abundant number, since it is smaller than the sum of its proper divisors (30695160).

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

13757640 is a wasteful number, since it uses less digits than its factorization.

13757640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 13757640 is about 3709.1292778764. The cubic root of 13757640 is about 239.6153560893.

The spelling of 13757640 in words is "thirteen million, seven hundred fifty-seven thousand, six hundred forty".