13826680 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 4257792.

The previous prime is 13826677. The next prime is 13826689. The reversal of 13826680 is 8662831.

13826680 is nontrivially palindromic in base 12.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122304 + ... + 122416.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^13826680 is an apocalyptic number.

13826680 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 13826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

13826680 is an abundant number, since it is smaller than the sum of its proper divisors (25571720).

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

13826680 is a wasteful number, since it uses less digits than its factorization.

13826680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 13826680 is about 3718.4243975103. The cubic root of 13826680 is about 240.0155082571.

The spelling of 13826680 in words is "thirteen million, eight hundred twenty-six thousand, six hundred eighty".