1985100 has 72 divisors (see below), whose sum is σ = 6197520. Its totient is φ = 487680.

The previous prime is 1985077. The next prime is 1985167. The reversal of 1985100 is 15891.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3646 + ... + 4154.

2^1985100 is an apocalyptic number.

1985100 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 1985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098760).

1985100 is an abundant number, since it is smaller than the sum of its proper divisors (4212420).

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

1985100 is a wasteful number, since it uses less digits than its factorization.

1985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1985100 is about 1408.9357685856. The cubic root of 1985100 is about 125.6784443772.

The spelling of 1985100 in words is "one million, nine hundred eighty-five thousand, one hundred".