1985672 has 32 divisors (see below), whose sum is σ = 4088280. Its totient is φ = 898560.

The previous prime is 1985663. The next prime is 1985677. The reversal of 1985672 is 2765891.

It can be written as a sum of positive squares in 4 ways, for example, as 206116 + 1779556 = 454^2 + 1334^2 .

It is not an unprimeable number, because it can be changed into a prime (1985677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6188 + ... + 6500.

2^1985672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044140).

1985672 is an abundant number, since it is smaller than the sum of its proper divisors (2102608).

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

1985672 is a wasteful number, since it uses less digits than its factorization.

1985672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 1985672 is about 1409.1387440561. The cubic root of 1985672 is about 125.6905144940.

The spelling of 1985672 in words is "one million, nine hundred eighty-five thousand, six hundred seventy-two".