13821768 has 24 divisors (see below), whose sum is σ = 37434150. Its totient is φ = 4607232.

The previous prime is 13821733. The next prime is 13821779. The reversal of 13821768 is 86712831.

13821768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13704804 + 116964 = 3702^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95913 + ... + 96056.

Almost surely, 2^13821768 is an apocalyptic number.

13821768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13821768 is an abundant number, since it is smaller than the sum of its proper divisors (23612382).

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

13821768 is a wasteful number, since it uses less digits than its factorization.

13821768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191981 (or 191974 counting only the distinct ones).

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

The square root of 13821768 is about 3717.7638440331. The cubic root of 13821768 is about 239.9870826381.

It can be divided in two parts, 13821 and 768, that multiplied together give a triangular number (10614528 = T₄₆₀₇).

The spelling of 13821768 in words is "thirteen million, eight hundred twenty-one thousand, seven hundred sixty-eight".