13829440 has 56 divisors (see below), whose sum is σ = 34381440. Its totient is φ = 5288448.

The previous prime is 13829419. The next prime is 13829461. The reversal of 13829440 is 4492831.

It is an interprime number because it is at equal distance from previous prime (13829419) and next prime (13829461).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6421 + ... + 8299.

Almost surely, 2^13829440 is an apocalyptic number.

13829440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190720).

13829440 is an abundant number, since it is smaller than the sum of its proper divisors (20552000).

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

13829440 is a wasteful number, since it uses less digits than its factorization.

13829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 13829440 is about 3718.7955039233. The cubic root of 13829440 is about 240.0314773529.

The spelling of 13829440 in words is "thirteen million, eight hundred twenty-nine thousand, four hundred forty".