13768308 has 36 divisors (see below), whose sum is σ = 35012068. Its totient is φ = 4561920.

The previous prime is 13768303. The next prime is 13768343. The reversal of 13768308 is 80386731.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 13704804 = 252^2 + 3702^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (13768303) 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 11 ways as a sum of consecutive naturals, for example, 5460 + ... + 7572.

Almost surely, 2^13768308 is an apocalyptic number.

13768308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13768308 is an abundant number, since it is smaller than the sum of its proper divisors (21243760).

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

13768308 is a wasteful number, since it uses less digits than its factorization.

13768308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13768308 is about 3710.5670725645. The cubic root of 13768308 is about 239.6772745624.

The spelling of 13768308 in words is "thirteen million, seven hundred sixty-eight thousand, three hundred eight".