1985256 has 128 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 518400.

The previous prime is 1985239. The next prime is 1985257. The reversal of 1985256 is 6525891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1985256.

It is not an unprimeable number, because it can be changed into a prime (1985257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19606 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

2^1985256 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 1985256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

1985256 is an abundant number, since it is smaller than the sum of its proper divisors (4869144).

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

1985256 is a wasteful number, since it uses less digits than its factorization.

1985256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1985256 is about 1408.9911284320. The cubic root of 1985256 is about 125.6817364572.

The spelling of 1985256 in words is "one million, nine hundred eighty-five thousand, two hundred fifty-six".