1985600 has 84 divisors (see below), whose sum is σ = 5244084. Its totient is φ = 737280.

The previous prime is 1985593. The next prime is 1985623. The reversal of 1985600 is 65891.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 1982464 = 56^2 + 1408^2 .

It is a congruent number.

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, 27164 + ... + 27236.

2^1985600 is an apocalyptic number.

1985600 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 1985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622042).

1985600 is an abundant number, since it is smaller than the sum of its proper divisors (3258484).

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

1985600 is a wasteful number, since it uses less digits than its factorization.

1985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1985600 is about 1409.1131963047. The cubic root of 1985600 is about 125.6889953061.

The spelling of 1985600 in words is "one million, nine hundred eighty-five thousand, six hundred".