13820364 has 36 divisors (see below), whose sum is σ = 35059024. Its totient is φ = 4590432.

The previous prime is 13820299. The next prime is 13820381. The reversal of 13820364 is 46302831.

It is a happy number.

13820364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×13820364² = 382004922184992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13809 + ... + 14775.

Almost surely, 2^13820364 is an apocalyptic number.

It is an amenable number.

13820364 is an abundant number, since it is smaller than the sum of its proper divisors (21238660).

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

13820364 is a wasteful number, since it uses less digits than its factorization.

13820364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13820364 is about 3717.5750160555. The cubic root of 13820364 is about 239.9789564883.

It can be divided in two parts, 138 and 20364, that added together give a palindrome (20502).

The spelling of 13820364 in words is "thirteen million, eight hundred twenty thousand, three hundred sixty-four".