13868176 has 75 divisors (see below), whose sum is σ = 33082611. Its totient is φ = 5630688.

The previous prime is 13868171. The next prime is 13868189. The reversal of 13868176 is 67186831.

The square root of 13868176 is 3724.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (48384) is a multiple of the sum of its prime divisors (28).

It is not an unprimeable number, because it can be changed into a prime (13868171) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 729895 + ... + 729913.

Almost surely, 2^13868176 is an apocalyptic number.

13868176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13868176 is the 3724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13868176

13868176 is an abundant number, since it is smaller than the sum of its proper divisors (19214435).

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

13868176 is an frugal number, since it uses more digits than its factorization.

13868176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The cubic root of 13868176 is about 240.2553763140.

The spelling of 13868176 in words is "thirteen million, eight hundred sixty-eight thousand, one hundred seventy-six".