1167995664 has 180 divisors, whose sum is σ = 3772757040. Its totient is φ = 333607680.

The previous prime is 1167995639. The next prime is 1167995723. The reversal of 1167995664 is 4665997611.

It is a happy number.

1167995664 is a `hidden beast` number, since 1 + 1 + 6 + 79 + 9 + 566 + 4 = 666.

It is a super-2 number, since 2×1167995664² = 2728427742245601792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1167995664.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5928814 + ... + 5929010.

Almost surely, 2^1167995664 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 1167995664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886378520).

1167995664 is an abundant number, since it is smaller than the sum of its proper divisors (2604761376).

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

1167995664 is a wasteful number, since it uses less digits than its factorization.

1167995664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 232 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 1167995664 is about 34175.9515449095. The cubic root of 1167995664 is about 1053.1261824475.

The spelling of 1167995664 in words is "one billion, one hundred sixty-seven million, nine hundred ninety-five thousand, six hundred sixty-four".