1256864 has 48 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 518400.

The previous prime is 1256863. The next prime is 1256867. The reversal of 1256864 is 4686521.

It is a super-2 number, since 2×1256864² = 3159414228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1256864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256863) 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, 6854 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^1256864 is an apocalyptic number.

1256864 is a gapful number since it is divisible by the number (14) 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 1256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

1256864 is an abundant number, since it is smaller than the sum of its proper divisors (1678432).

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

1256864 is a wasteful number, since it uses less digits than its factorization.

1256864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 1256864 is about 1121.0994603513. The cubic root of 1256864 is about 107.9185485544.

The spelling of 1256864 in words is "one million, two hundred fifty-six thousand, eight hundred sixty-four".