13831680 has 80 divisors (see below), whose sum is σ = 44242704. Its totient is φ = 3686400.

The previous prime is 13831679. The next prime is 13831687. The reversal of 13831680 is 8613831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831687) 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, 6780 + ... + 8580.

Almost surely, 2^13831680 is an apocalyptic number.

13831680 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 13831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121352).

13831680 is an abundant number, since it is smaller than the sum of its proper divisors (30411024).

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

13831680 is an equidigital number, since it uses as much as digits as its factorization.

13831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13831680 is about 3719.0966645141. The cubic root of 13831680 is about 240.0444362165.

The spelling of 13831680 in words is "thirteen million, eight hundred thirty-one thousand, six hundred eighty".