1344800 has 54 divisors (see below), whose sum is σ = 3365019. Its totient is φ = 524800.

The previous prime is 1344799. The next prime is 1344821. The reversal of 1344800 is 84431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1344800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 5 ways, for example, as 8464 + 1336336 = 92^2 + 1156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=820.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32780 + ... + 32820.

2^1344800 is an apocalyptic number.

1344800 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 1344800

1344800 is an abundant number, since it is smaller than the sum of its proper divisors (2020219).

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

1344800 is an equidigital number, since it uses as much as digits as its factorization.

1344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1344800 is about 1159.6551211459. The cubic root of 1344800 is about 110.3788589358.

The spelling of 1344800 in words is "one million, three hundred forty-four thousand, eight hundred".