13768188 has 48 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 3867840.

The previous prime is 13768187. The next prime is 13768193. The reversal of 13768188 is 88186731.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3781 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (777728).

Almost surely, 2^13768188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13768188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).

13768188 is an abundant number, since it is smaller than the sum of its proper divisors (23562756).

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

13768188 is a wasteful number, since it uses less digits than its factorization.

13768188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2760 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 13768188 is about 3710.5509024941. The cubic root of 13768188 is about 239.6765782445.

The spelling of 13768188 in words is "thirteen million, seven hundred sixty-eight thousand, one hundred eighty-eight".