2085600 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 499200.

The previous prime is 2085599. The next prime is 2085607. The reversal of 2085600 is 65802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26361 + ... + 26439.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^2085600 is an apocalyptic number.

2085600 is a gapful number since it is divisible by the number (20) 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 2085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2085600 is an abundant number, since it is smaller than the sum of its proper divisors (5413920).

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

2085600 is a wasteful number, since it uses less digits than its factorization.

2085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2085600 is about 1444.1606558829. The cubic root of 2085600 is about 127.7645410919.

The spelling of 2085600 in words is "two million, eighty-five thousand, six hundred".