1256000 has 56 divisors (see below), whose sum is σ = 3130296. Its totient is φ = 499200.

The previous prime is 1255997. The next prime is 1256009. The reversal of 1256000 is 6521.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 1132096 = 352^2 + 1064^2 .

It is not an unprimeable number, because it can be changed into a prime (1256009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 8078.

2^1256000 is an apocalyptic number.

1256000 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 1256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565148).

1256000 is an abundant number, since it is smaller than the sum of its proper divisors (1874296).

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

1256000 is an equidigital number, since it uses as much as digits as its factorization.

1256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1256000 is about 1120.7140580898. The cubic root of 1256000 is about 107.8938142422.

The spelling of 1256000 in words is "one million, two hundred fifty-six thousand".