1990800 has 180 divisors, whose sum is σ = 7995520. Its totient is φ = 449280.

The previous prime is 1990787. The next prime is 1990823. The reversal of 1990800 is 80991.

1990800 = T₄₀ + T₄₁ + ... + T₂₂₈.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25161 + ... + 25239.

2^1990800 is an apocalyptic number.

1990800 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 1990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997760).

1990800 is an abundant number, since it is smaller than the sum of its proper divisors (6004720).

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

1990800 is a wasteful number, since it uses less digits than its factorization.

1990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1990800 is about 1410.9571219566. The cubic root of 1990800 is about 125.7986201144.

The spelling of 1990800 in words is "one million, nine hundred ninety thousand, eight hundred".