1685121200 has 120 divisors (see below), whose sum is σ = 4672581888. Its totient is φ = 572048640.

The previous prime is 1685121199. The next prime is 1685121203. The reversal of 1685121200 is 21215861.

It is a self number, because there is not a number n which added to its sum of digits gives 1685121200.

It is not an unprimeable number, because it can be changed into a prime (1685121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285479 + ... + 291321.

Almost surely, 2^1685121200 is an apocalyptic number.

1685121200 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 1685121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336290944).

1685121200 is an abundant number, since it is smaller than the sum of its proper divisors (2987460688).

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

1685121200 is a wasteful number, since it uses less digits than its factorization.

1685121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 1685121200 is about 41050.2277703791. The cubic root of 1685121200 is about 1189.9911022568.

The spelling of 1685121200 in words is "one billion, six hundred eighty-five million, one hundred twenty-one thousand, two hundred".