1993800 has 48 divisors (see below), whose sum is σ = 6182640. Its totient is φ = 531520.

The previous prime is 1993763. The next prime is 1993829. The reversal of 1993800 is 83991.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

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, 1062 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (128805).

2^1993800 is an apocalyptic number.

1993800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993800 is an abundant number, since it is smaller than the sum of its proper divisors (4188840).

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

1993800 is a wasteful number, since it uses less digits than its factorization.

1993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1993800 is about 1412.0198298891. The cubic root of 1993800 is about 125.8617783839.

The spelling of 1993800 in words is "one million, nine hundred ninety-three thousand, eight hundred".