1985680 has 20 divisors (see below), whose sum is σ = 4616892. Its totient is φ = 794240.

The previous prime is 1985677. The next prime is 1985689. The reversal of 1985680 is 865891.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 1517824 = 684^2 + 1232^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (1985689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12331 + ... + 12490.

2^1985680 is an apocalyptic number.

1985680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1985680 is an abundant number, since it is smaller than the sum of its proper divisors (2631212).

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

1985680 is a wasteful number, since it uses less digits than its factorization.

1985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24834 (or 24828 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1985680 is about 1409.1415826666. The cubic root of 1985680 is about 125.6906832904.

The spelling of 1985680 in words is "one million, nine hundred eighty-five thousand, six hundred eighty".