1255968 has 108 divisors (see below), whose sum is σ = 4201470. Its totient is φ = 354816.

The previous prime is 1255967. The next prime is 1255993. The reversal of 1255968 is 8695521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 63504 = 1092^2 + 252^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1255963) 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 17 ways as a sum of consecutive naturals, for example, 14068 + ... + 14156.

2^1255968 is an apocalyptic number.

1255968 is a gapful number since it is divisible by the number (18) 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 1255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100735).

1255968 is an abundant number, since it is smaller than the sum of its proper divisors (2945502).

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

1255968 is a wasteful number, since it uses less digits than its factorization.

1255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

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

The square root of 1255968 is about 1120.6997813866. The cubic root of 1255968 is about 107.8928979387.

The spelling of 1255968 in words is "one million, two hundred fifty-five thousand, nine hundred sixty-eight".