13011684 has 48 divisors (see below), whose sum is σ = 34922496. Its totient is φ = 3693600.

The previous prime is 13011641. The next prime is 13011697. The reversal of 13011684 is 48611031.

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 15 ways as a sum of consecutive naturals, for example, 15639 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (727552).

Almost surely, 2^13011684 is an apocalyptic number.

13011684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461248).

13011684 is an abundant number, since it is smaller than the sum of its proper divisors (21910812).

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

13011684 is a wasteful number, since it uses less digits than its factorization.

13011684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13011684 is about 3607.1711908364. The cubic root of 13011684 is about 235.2038912541.

It can be divided in two parts, 13011 and 684, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13011684 in words is "thirteen million, eleven thousand, six hundred eighty-four".