13829676 has 48 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3885120.

The previous prime is 13829657. The next prime is 13829677. The reversal of 13829676 is 67692831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13829677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775 + ... + 6473.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^13829676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13829676 is an abundant number, since it is smaller than the sum of its proper divisors (23667924).

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

13829676 is a wasteful number, since it uses less digits than its factorization.

13829676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2772 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 13829676 is about 3718.8272344921. The cubic root of 13829676 is about 240.0328427277.

The spelling of 13829676 in words is "thirteen million, eight hundred twenty-nine thousand, six hundred seventy-six".