1930800 has 60 divisors (see below), whose sum is σ = 6188840. Its totient is φ = 514560.

The previous prime is 1930793. The next prime is 1930801. The reversal of 1930800 is 80391.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1930801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 396 + ... + 2004.

2^1930800 is an apocalyptic number.

1930800 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 1930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094420).

1930800 is an abundant number, since it is smaller than the sum of its proper divisors (4258040).

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

1930800 is a wasteful number, since it uses less digits than its factorization.

1930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1930800 is about 1389.5322954145. The cubic root of 1930800 is about 124.5219070819.

The spelling of 1930800 in words is "one million, nine hundred thirty thousand, eight hundred".