1268256 has 48 divisors (see below), whose sum is σ = 3634848. Its totient is φ = 384000.

The previous prime is 1268233. The next prime is 1268261. The reversal of 1268256 is 6528621.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (75726).

2^1268256 is an apocalyptic number.

1268256 is a gapful number since it is divisible by the number (16) 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 1268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817424).

1268256 is an abundant number, since it is smaller than the sum of its proper divisors (2366592).

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

1268256 is a wasteful number, since it uses less digits than its factorization.

1268256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1268256 is about 1126.1687262573. The cubic root of 1268256 is about 108.2436201386.

The spelling of 1268256 in words is "one million, two hundred sixty-eight thousand, two hundred fifty-six".