13758940 has 24 divisors (see below), whose sum is σ = 31116960. Its totient is φ = 5080128.

The previous prime is 13758937. The next prime is 13758949. The reversal of 13758940 is 4985731.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13758940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26200 + ... + 26719.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2^13758940 is an apocalyptic number.

13758940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758940 is an abundant number, since it is smaller than the sum of its proper divisors (17358020).

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

13758940 is a wasteful number, since it uses less digits than its factorization.

13758940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52941 (or 52939 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 13758940 is about 3709.3045170220. The cubic root of 13758940 is about 239.6229031723.

The spelling of 13758940 in words is "thirteen million, seven hundred fifty-eight thousand, nine hundred forty".