13906656 has 72 divisors (see below), whose sum is σ = 39999960. Its totient is φ = 4582656.

The previous prime is 13906649. The next prime is 13906657. The reversal of 13906656 is 65660931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13906656² = 386790162204672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13906656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906657) 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, 31171 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (555555).

Almost surely, 2^13906656 is an apocalyptic number.

13906656 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 13906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999980).

13906656 is an abundant number, since it is smaller than the sum of its proper divisors (26093304).

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

13906656 is a wasteful number, since it uses less digits than its factorization.

13906656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 13906656 is about 3729.1629087504. The cubic root of 13906656 is about 240.4773831426.

The spelling of 13906656 in words is "thirteen million, nine hundred six thousand, six hundred fifty-six".