13824192 has 56 divisors (see below), whose sum is σ = 37033200. Its totient is φ = 4550656.

The previous prime is 13824169. The next prime is 13824211. The reversal of 13824192 is 29142831.

It is a super-2 number, since 2×13824192² = 382216568905728, which contains 22 as substring.

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, 16684 + ... + 17492.

Almost surely, 2^13824192 is an apocalyptic number.

13824192 is a gapful number since it is divisible by the number (12) 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 13824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516600).

13824192 is an abundant number, since it is smaller than the sum of its proper divisors (23209008).

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

13824192 is an equidigital number, since it uses as much as digits as its factorization.

13824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 13824192 is about 3718.0898321584. The cubic root of 13824192 is about 240.0011111060.

The spelling of 13824192 in words is "thirteen million, eight hundred twenty-four thousand, one hundred ninety-two".