1267968 has 72 divisors (see below), whose sum is σ = 3662848. Its totient is φ = 387072.

The previous prime is 1267961. The next prime is 1267999. The reversal of 1267968 is 8697621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1267961) 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, 9921 + ... + 10047.

2^1267968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831424).

1267968 is an abundant number, since it is smaller than the sum of its proper divisors (2394880).

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

1267968 is a wasteful number, since it uses less digits than its factorization.

1267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 1267968 is about 1126.0408518344. The cubic root of 1267968 is about 108.2354260720.

The spelling of 1267968 in words is "one million, two hundred sixty-seven thousand, nine hundred sixty-eight".