13830564 has 48 divisors (see below), whose sum is σ = 36429120. Its totient is φ = 4045440.

The previous prime is 13830559. The next prime is 13830577. The reversal of 13830564 is 46503831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (758940).

Almost surely, 2^13830564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214560).

13830564 is an abundant number, since it is smaller than the sum of its proper divisors (22598556).

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

13830564 is a wasteful number, since it uses less digits than its factorization.

13830564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13830564 is about 3718.9466250539. The cubic root of 13830564 is about 240.0379801004.

The spelling of 13830564 in words is "thirteen million, eight hundred thirty thousand, five hundred sixty-four".