13834668 has 48 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 4276224.

The previous prime is 13834657. The next prime is 13834693. The reversal of 13834668 is 86643831.

13834668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (82944) is a multiple of the sum of its prime divisors (1024).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14428 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 2^13834668 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 13834668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

13834668 is an abundant number, since it is smaller than the sum of its proper divisors (20850612).

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

13834668 is a wasteful number, since it uses less digits than its factorization.

13834668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13834668 is about 3719.4983532729. The cubic root of 13834668 is about 240.0617202373.

The spelling of 13834668 in words is "thirteen million, eight hundred thirty-four thousand, six hundred sixty-eight".