13768200 has 72 divisors (see below), whose sum is σ = 46244250. Its totient is φ = 3671040.

The previous prime is 13768193. The next prime is 13768201. The reversal of 13768200 is 286731.

It can be written as a sum of positive squares in 3 ways, for example, as 6380676 + 7387524 = 2526^2 + 2718^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13768201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2025 + ... + 5624.

Almost surely, 2^13768200 is an apocalyptic number.

13768200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768200 is an abundant number, since it is smaller than the sum of its proper divisors (32476050).

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

13768200 is a wasteful number, since it uses less digits than its factorization.

13768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13768200 is about 3710.5525195043. The cubic root of 13768200 is about 239.6766478765.

The spelling of 13768200 in words is "thirteen million, seven hundred sixty-eight thousand, two hundred".