1167057440 has 96 divisors (see below), whose sum is σ = 2882764080. Its totient is φ = 445906944.

The previous prime is 1167057427. The next prime is 1167057443. The reversal of 1167057440 is 447507611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 546250384 + 620807056 = 23372^2 + 24916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1167057440.

It is not an unprimeable number, because it can be changed into a prime (1167057443) 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 15 ways as a sum of consecutive naturals, for example, 448784 + ... + 451376.

Almost surely, 2^1167057440 is an apocalyptic number.

1167057440 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 1167057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441382040).

1167057440 is an abundant number, since it is smaller than the sum of its proper divisors (1715706640).

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

1167057440 is a wasteful number, since it uses less digits than its factorization.

1167057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 1167057440 is about 34162.2224101419. Note that the first 3 decimals coincide. The cubic root of 1167057440 is about 1052.8441229125.

The spelling of 1167057440 in words is "one billion, one hundred sixty-seven million, fifty-seven thousand, four hundred forty".