13758240 has 48 divisors (see below), whose sum is σ = 43339968. Its totient is φ = 3668736.

The previous prime is 13758229. The next prime is 13758259. The reversal of 13758240 is 4285731.

13758240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13758198 and 13758207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13852 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (902916).

Almost surely, 2^13758240 is an apocalyptic number.

13758240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758240 is an abundant number, since it is smaller than the sum of its proper divisors (29581728).

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

13758240 is a wasteful number, since it uses less digits than its factorization.

13758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681 (or 28673 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13758240 is about 3709.2101585108. The cubic root of 13758240 is about 239.6188394175.

The spelling of 13758240 in words is "thirteen million, seven hundred fifty-eight thousand, two hundred forty".