1167127440 has 160 divisors (see below), whose sum is σ = 3824457600. Its totient is φ = 294437376.

The previous prime is 1167127397. The next prime is 1167127447. The reversal of 1167127440 is 447217611.

It is a super-2 number, since 2×1167127440² = 2724372922401907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1167127447) 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, 1645806 + ... + 1646514.

It is an arithmetic number, because the mean of its divisors is an integer number (23902860).

Almost surely, 2^1167127440 is an apocalyptic number.

1167127440 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 1167127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912228800).

1167127440 is an abundant number, since it is smaller than the sum of its proper divisors (2657330160).

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

1167127440 is an equidigital number, since it uses as much as digits as its factorization.

1167127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1167127440 is about 34163.2469182893. The cubic root of 1167127440 is about 1052.8651723235.

The spelling of 1167127440 in words is "one billion, one hundred sixty-seven million, one hundred twenty-seven thousand, four hundred forty".