13830516 has 72 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 3890880.

The previous prime is 13830497. The next prime is 13830527. The reversal of 13830516 is 61503831.

It is a self number, because there is not a number n which added to its sum of digits gives 13830516.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17506 + ... + 18278.

It is an arithmetic number, because the mean of its divisors is an integer number (563472).

Almost surely, 2^13830516 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 13830516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

13830516 is an abundant number, since it is smaller than the sum of its proper divisors (26739468).

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

13830516 is a wasteful number, since it uses less digits than its factorization.

13830516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13830516 is about 3718.9401716080. The cubic root of 13830516 is about 240.0377024102.

The spelling of 13830516 in words is "thirteen million, eight hundred thirty thousand, five hundred sixteen".