1167936672 has 192 divisors, whose sum is σ = 3640412160. Its totient is φ = 320910336.

The previous prime is 1167936661. The next prime is 1167936677. The reversal of 1167936672 is 2766397611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1167936677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2660229 + ... + 2660667.

It is an arithmetic number, because the mean of its divisors is an integer number (18960480).

Almost surely, 2^1167936672 is an apocalyptic number.

1167936672 is a gapful number since it is divisible by the number (12) 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 1167936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1167936672 is an abundant number, since it is smaller than the sum of its proper divisors (2472475488).

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

1167936672 is a wasteful number, since it uses less digits than its factorization.

1167936672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 1167936672 is about 34175.0884709901. The cubic root of 1167936672 is about 1053.1084520547.

The spelling of 1167936672 in words is "one billion, one hundred sixty-seven million, nine hundred thirty-six thousand, six hundred seventy-two".