1985200 has 60 divisors (see below), whose sum is σ = 5458480. Its totient is φ = 679680.

The previous prime is 1985189. The next prime is 1985213. The reversal of 1985200 is 25891.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2446 + ... + 3154.

2^1985200 is an apocalyptic number.

1985200 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 1985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729240).

1985200 is an abundant number, since it is smaller than the sum of its proper divisors (3473280).

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

1985200 is a wasteful number, since it uses less digits than its factorization.

1985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1985200 is about 1408.9712559169. The cubic root of 1985200 is about 125.6805547047.

The spelling of 1985200 in words is "one million, nine hundred eighty-five thousand, two hundred".