13830656 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 5554176.

The previous prime is 13830631. The next prime is 13830667. The reversal of 13830656 is 65603831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60815 + ... + 61041.

Almost surely, 2^13830656 is an apocalyptic number.

13830656 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 13830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

13830656 is an abundant number, since it is smaller than the sum of its proper divisors (19756480).

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

13830656 is an equidigital number, since it uses as much as digits as its factorization.

13830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13830656 is about 3718.9589941273. The cubic root of 13830656 is about 240.0385123382.

The spelling of 13830656 in words is "thirteen million, eight hundred thirty thousand, six hundred fifty-six".