13684020 has 96 divisors (see below), whose sum is σ = 45244416. Its totient is φ = 3024000.

The previous prime is 13684007. The next prime is 13684039. The reversal of 13684020 is 2048631.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 12495 + ... + 13545.

It is an arithmetic number, because the mean of its divisors is an integer number (471296).

Almost surely, 2^13684020 is an apocalyptic number.

13684020 is a gapful number since it is divisible by the number (10) 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 13684020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22622208).

13684020 is an abundant number, since it is smaller than the sum of its proper divisors (31560396).

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

13684020 is a wasteful number, since it uses less digits than its factorization.

13684020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13684020 is about 3699.1918036241. The cubic root of 13684020 is about 239.1871808509.

The spelling of 13684020 in words is "thirteen million, six hundred eighty-four thousand, twenty".