13784680 has 96 divisors (see below), whose sum is σ = 38926440. Its totient is φ = 4354560.

The previous prime is 13784653. The next prime is 13784689. The reversal of 13784680 is 8648731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7918596 + 5866084 = 2814^2 + 2422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13784689) by changing a digit.

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, 25210 + ... + 25750.

Almost surely, 2^13784680 is an apocalyptic number.

13784680 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 13784680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463220).

13784680 is an abundant number, since it is smaller than the sum of its proper divisors (25141760).

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

13784680 is a wasteful number, since it uses less digits than its factorization.

13784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 13784680 is about 3712.7725489181. The cubic root of 13784680 is about 239.7722376233.

The spelling of 13784680 in words is "thirteen million, seven hundred eighty-four thousand, six hundred eighty".