13758960 has 40 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3668992.

The previous prime is 13758949. The next prime is 13758973. The reversal of 13758960 is 6985731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28425 + ... + 28904.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^13758960 is an apocalyptic number.

13758960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758960 is an abundant number, since it is smaller than the sum of its proper divisors (28894560).

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

13758960 is a wasteful number, since it uses less digits than its factorization.

13758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57345 (or 57339 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13758960 is about 3709.3072129442. The cubic root of 13758960 is about 239.6230192775.

The spelling of 13758960 in words is "thirteen million, seven hundred fifty-eight thousand, nine hundred sixty".