13830642 has 48 divisors (see below), whose sum is σ = 35759520. Its totient is φ = 3950856.

The previous prime is 13830631. The next prime is 13830667. The reversal of 13830642 is 24603831.

It is a happy number.

13830642 is a `hidden beast` number, since 13 + 8 + 3 + 0 + 642 = 666.

13830642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (744990).

Almost surely, 2^13830642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879760).

13830642 is an abundant number, since it is smaller than the sum of its proper divisors (21928878).

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

13830642 is a wasteful number, since it uses less digits than its factorization.

13830642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13830642 is about 3718.9571118796. The cubic root of 13830642 is about 240.0384313456.

The spelling of 13830642 in words is "thirteen million, eight hundred thirty thousand, six hundred forty-two".