13782656 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 6429696.

The previous prime is 13782647. The next prime is 13782667. The reversal of 13782656 is 65628731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 174425 + ... + 174503.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^13782656 is an apocalyptic number.

13782656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 3712×3713.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

13782656 is an abundant number, since it is smaller than the sum of its proper divisors (15593344).

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

13782656 is an equidigital number, since it uses as much as digits as its factorization.

13782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 13782656 is about 3712.4999663300. The cubic root of 13782656 is about 239.7605018228.

The spelling of 13782656 in words is "thirteen million, seven hundred eighty-two thousand, six hundred fifty-six".