1944800 has 144 divisors (see below), whose sum is σ = 5905872. Its totient is φ = 614400.

The previous prime is 1944799. The next prime is 1944823. The reversal of 1944800 is 84491.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1944800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114392 + ... + 114408.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2^1944800 is an apocalyptic number.

1944800 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 1944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936).

1944800 is an abundant number, since it is smaller than the sum of its proper divisors (3961072).

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

1944800 is a wasteful number, since it uses less digits than its factorization.

1944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1944800 is about 1394.5608627808. The cubic root of 1944800 is about 124.8221470667.

It can be divided in two parts, 1944 and 800, that added together give a cube (2744 = 14³).

The spelling of 1944800 in words is "one million, nine hundred forty-four thousand, eight hundred".