13746540 has 48 divisors (see below), whose sum is σ = 40757472. Its totient is φ = 3449856.

The previous prime is 13746503. The next prime is 13746581. The reversal of 13746540 is 4564731.

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 = 13746498 and 13746507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5719 + ... + 7758.

It is an arithmetic number, because the mean of its divisors is an integer number (849114).

Almost surely, 2^13746540 is an apocalyptic number.

13746540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746540 is an abundant number, since it is smaller than the sum of its proper divisors (27010932).

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

13746540 is a wasteful number, since it uses less digits than its factorization.

13746540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 13746540 is about 3707.6326678893. The cubic root of 13746540 is about 239.5508962429.

The spelling of 13746540 in words is "thirteen million, seven hundred forty-six thousand, five hundred forty".