1167965568 has 720 divisors, whose sum is σ = 4678235100. Its totient is φ = 287400960.

The previous prime is 1167965567. The next prime is 1167965581. The reversal of 1167965568 is 8655697611.

1167965568 is a `hidden beast` number, since 1 + 1 + 6 + 79 + 6 + 5 + 568 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2721600) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167965563) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61471863 + ... + 61471881.

Almost surely, 2^1167965568 is an apocalyptic number.

1167965568 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 1167965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339117550).

1167965568 is an abundant number, since it is smaller than the sum of its proper divisors (3510269532).

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

1167965568 is a wasteful number, since it uses less digits than its factorization.

1167965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 1167965568 is about 34175.5112324600. The cubic root of 1167965568 is about 1053.1171369922.

The spelling of 1167965568 in words is "one billion, one hundred sixty-seven million, nine hundred sixty-five thousand, five hundred sixty-eight".