12824800 has 144 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 4505600.

The previous prime is 12824797. The next prime is 12824807. The reversal of 12824800 is 842821.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312780 + ... + 312820.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^12824800 is an apocalyptic number.

12824800 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 12824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

12824800 is an abundant number, since it is smaller than the sum of its proper divisors (22610432).

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

12824800 is a wasteful number, since it uses less digits than its factorization.

12824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12824800 is about 3581.1729921912. The cubic root of 12824800 is about 234.0723958429.

The spelling of 12824800 in words is "twelve million, eight hundred twenty-four thousand, eight hundred".