1256580 has 96 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 307584.

The previous prime is 1256579. The next prime is 1256587. The reversal of 1256580 is 856521.

1256580 is a `hidden beast` number, since 1 + 2 + 5 + 658 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1256587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6931 + ... + 7109.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2^1256580 is an apocalyptic number.

1256580 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 1256580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

1256580 is an abundant number, since it is smaller than the sum of its proper divisors (2977020).

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

1256580 is a wasteful number, since it uses less digits than its factorization.

1256580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1256580 is about 1120.9727918197. The cubic root of 1256580 is about 107.9104195453.

The spelling of 1256580 in words is "one million, two hundred fifty-six thousand, five hundred eighty".