1167968256 has 192 divisors, whose sum is σ = 3834230400. Its totient is φ = 307888128.

The previous prime is 1167968251. The next prime is 1167968297. The reversal of 1167968256 is 6528697611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1167968199 and 1167968208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167968251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558060 + ... + 560148.

It is an arithmetic number, because the mean of its divisors is an integer number (19969950).

Almost surely, 2^1167968256 is an apocalyptic number.

1167968256 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 1167968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917115200).

1167968256 is an abundant number, since it is smaller than the sum of its proper divisors (2666262144).

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

1167968256 is a wasteful number, since it uses less digits than its factorization.

1167968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2114 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 1167968256 is about 34175.5505588425. The cubic root of 1167968256 is about 1053.1179448861.

The spelling of 1167968256 in words is "one billion, one hundred sixty-seven million, nine hundred sixty-eight thousand, two hundred fifty-six".