13829264 has 20 divisors (see below), whose sum is σ = 28205040. Its totient is φ = 6550560.

The previous prime is 13829261. The next prime is 13829267. The reversal of 13829264 is 46292831.

It is an interprime number because it is at equal distance from previous prime (13829261) and next prime (13829267).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13829261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22442 + ... + 23049.

It is an arithmetic number, because the mean of its divisors is an integer number (1410252).

Almost surely, 2^13829264 is an apocalyptic number.

It is an amenable number.

13829264 is an abundant number, since it is smaller than the sum of its proper divisors (14375776).

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

13829264 is a wasteful number, since it uses less digits than its factorization.

13829264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45518 (or 45512 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 13829264 is about 3718.7718402720. The cubic root of 13829264 is about 240.0304590971.

The spelling of 13829264 in words is "thirteen million, eight hundred twenty-nine thousand, two hundred sixty-four".