13746656 has 72 divisors (see below), whose sum is σ = 34387416. Its totient is φ = 5349120.

The previous prime is 13746653. The next prime is 13746731. The reversal of 13746656 is 65664731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16850 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 2^13746656 is an apocalyptic number.

13746656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193708).

13746656 is an abundant number, since it is smaller than the sum of its proper divisors (20640760).

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

13746656 is a wasteful number, since it uses less digits than its factorization.

13746656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 13746656 is about 3707.6483112615. The cubic root of 13746656 is about 239.5515700567.

The spelling of 13746656 in words is "thirteen million, seven hundred forty-six thousand, six hundred fifty-six".