13829466 has 48 divisors (see below), whose sum is σ = 34079616. Its totient is φ = 3717504.

The previous prime is 13829461. The next prime is 13829467. The reversal of 13829466 is 66492831.

It is not an unprimeable number, because it can be changed into a prime (13829461) 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, 3615 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (709992).

Almost surely, 2^13829466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039808).

13829466 is an abundant number, since it is smaller than the sum of its proper divisors (20250150).

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

13829466 is a wasteful number, since it uses less digits than its factorization.

13829466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2796 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13829466 is about 3718.7989996772. The cubic root of 13829466 is about 240.0316277763.

The spelling of 13829466 in words is "thirteen million, eight hundred twenty-nine thousand, four hundred sixty-six".