13768084 has 48 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 5775840.

The previous prime is 13768081. The next prime is 13768091. The reversal of 13768084 is 48086731.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35757 + ... + 36139.

It is an arithmetic number, because the mean of its divisors is an integer number (591360).

Almost surely, 2^13768084 is an apocalyptic number.

It is an amenable number.

13768084 is an abundant number, since it is smaller than the sum of its proper divisors (14617196).

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

13768084 is a wasteful number, since it uses less digits than its factorization.

13768084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 13768084 is about 3710.5368883761. The cubic root of 13768084 is about 239.6759747658.

The spelling of 13768084 in words is "thirteen million, seven hundred sixty-eight thousand, eighty-four".