1167886080 has 288 divisors, whose sum is σ = 4238438400. Its totient is φ = 304386048.

The previous prime is 1167886079. The next prime is 1167886099. The reversal of 1167886080 is 806887611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623961 + ... + 1624679.

It is an arithmetic number, because the mean of its divisors is an integer number (14716800).

Almost surely, 2^1167886080 is an apocalyptic number.

1167886080 is a gapful number since it is divisible by the number (10) 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 1167886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1167886080 is an abundant number, since it is smaller than the sum of its proper divisors (3070552320).

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

1167886080 is an equidigital number, since it uses as much as digits as its factorization.

1167886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1167886080 is about 34174.3482746928. The cubic root of 1167886080 is about 1053.0932458558.

The spelling of 1167886080 in words is "one billion, one hundred sixty-seven million, eight hundred eighty-six thousand, eighty".