1167828961 has 16 divisors (see below), whose sum is σ = 1293988864. Its totient is φ = 1047302784.

The previous prime is 1167828941. The next prime is 1167828973. The reversal of 1167828961 is 1698287611.

It is a cyclic number.

It is not a de Polignac number, because 1167828961 - 2⁹ = 1167828449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1167828941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54400 + ... + 72766.

It is an arithmetic number, because the mean of its divisors is an integer number (80874304).

Almost surely, 2^1167828961 is an apocalyptic number.

It is an amenable number.

1167828961 is a deficient number, since it is larger than the sum of its proper divisors (126159903).

1167828961 is a wasteful number, since it uses less digits than its factorization.

1167828961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18520.

The product of its digits is 290304, while the sum is 49.

The square root of 1167828961 is about 34173.5125645579. The cubic root of 1167828961 is about 1053.0760773394.

The spelling of 1167828961 in words is "one billion, one hundred sixty-seven million, eight hundred twenty-eight thousand, nine hundred sixty-one".