1984800 has 72 divisors (see below), whose sum is σ = 6468336. Its totient is φ = 528640.

The previous prime is 1984799. The next prime is 1984813. The reversal of 1984800 is 84891.

It is a happy number.

1984800 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1987 + ... + 2813.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

2^1984800 is an apocalyptic number.

1984800 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 1984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234168).

1984800 is an abundant number, since it is smaller than the sum of its proper divisors (4483536).

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

1984800 is a wasteful number, since it uses less digits than its factorization.

1984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1984800 is about 1408.8293012285. The cubic root of 1984800 is about 125.6721129694.

The spelling of 1984800 in words is "one million, nine hundred eighty-four thousand, eight hundred".