1224800 has 36 divisors (see below), whose sum is σ = 2991996. Its totient is φ = 489600.

The previous prime is 1224767. The next prime is 1224809. The reversal of 1224800 is 84221.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (83111).

2^1224800 is an apocalyptic number.

1224800 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 1224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495998).

1224800 is an abundant number, since it is smaller than the sum of its proper divisors (1767196).

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

1224800 is a wasteful number, since it uses less digits than its factorization.

1224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1224800 is about 1106.7068265806. The cubic root of 1224800 is about 106.9929246785.

The spelling of 1224800 in words is "one million, two hundred twenty-four thousand, eight hundred".