13782168 has 48 divisors (see below), whose sum is σ = 37897080. Its totient is φ = 4523904.

The previous prime is 13782149. The next prime is 13782169. The reversal of 13782168 is 86128731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782169) 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, 3396 + ... + 6252.

Almost surely, 2^13782168 is an apocalyptic number.

13782168 is a gapful number since it is divisible by the number (18) 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 13782168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948540).

13782168 is an abundant number, since it is smaller than the sum of its proper divisors (24114912).

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

13782168 is a wasteful number, since it uses less digits than its factorization.

13782168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2929 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13782168 is about 3712.4342418419. The cubic root of 13782168 is about 239.7576720706.

The spelling of 13782168 in words is "thirteen million, seven hundred eighty-two thousand, one hundred sixty-eight".