1167904128 has 128 divisors (see below), whose sum is σ = 3195717120. Its totient is φ = 377726976.

The previous prime is 1167904117. The next prime is 1167904159. The reversal of 1167904128 is 8214097611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2941626 + ... + 2942022.

It is an arithmetic number, because the mean of its divisors is an integer number (24966540).

Almost surely, 2^1167904128 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 1167904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597858560).

1167904128 is an abundant number, since it is smaller than the sum of its proper divisors (2027812992).

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

1167904128 is a wasteful number, since it uses less digits than its factorization.

1167904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1167904128 is about 34174.6123313784. The cubic root of 1167904128 is about 1053.0986705085.

The spelling of 1167904128 in words is "one billion, one hundred sixty-seven million, nine hundred four thousand, one hundred twenty-eight".