13824800 has 72 divisors (see below), whose sum is σ = 36841392. Its totient is φ = 5024000.

The previous prime is 13824787. The next prime is 13824809. The reversal of 13824800 is 842831.

It is a super-2 number, since 2×13824800² = 382250190080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13824800.

It is not an unprimeable number, because it can be changed into a prime (13824809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8015 + ... + 9585.

It is an arithmetic number, because the mean of its divisors is an integer number (511686).

Almost surely, 2^13824800 is an apocalyptic number.

13824800 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 13824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420696).

13824800 is an abundant number, since it is smaller than the sum of its proper divisors (23016592).

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

13824800 is a wasteful number, since it uses less digits than its factorization.

13824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13824800 is about 3718.1715936734. The cubic root of 13824800 is about 240.0046295403.

The spelling of 13824800 in words is "thirteen million, eight hundred twenty-four thousand, eight hundred".