13684820 has 24 divisors (see below), whose sum is σ = 29516424. Its totient is φ = 5325696.

The previous prime is 13684787. The next prime is 13684823. The reversal of 13684820 is 2848631.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 10523536 = 1778^2 + 3244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13684823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8507 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (1229851).

Almost surely, 2^13684820 is an apocalyptic number.

13684820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13684820 is an abundant number, since it is smaller than the sum of its proper divisors (15831604).

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

13684820 is a wasteful number, since it uses less digits than its factorization.

13684820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18539 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13684820 is about 3699.2999337713. The cubic root of 13684820 is about 239.1918419085.

The spelling of 13684820 in words is "thirteen million, six hundred eighty-four thousand, eight hundred twenty".