1167432840 has 432 divisors, whose sum is σ = 4708980900. Its totient is φ = 250048512.

The previous prime is 1167432839. The next prime is 1167432869. The reversal of 1167432840 is 482347611.

It can be written as a sum of positive squares in 6 ways, for example, as 1064977956 + 102454884 = 32634^2 + 10122^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1167432795 and 1167432804.

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 107 ways as a sum of consecutive naturals, for example, 5097846 + ... + 5098074.

Almost surely, 2^1167432840 is an apocalyptic number.

1167432840 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 1167432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354490450).

1167432840 is an abundant number, since it is smaller than the sum of its proper divisors (3541548060).

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

1167432840 is a wasteful number, since it uses less digits than its factorization.

1167432840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1167432840 is about 34167.7163415994. The cubic root of 1167432840 is about 1052.9569980518.

The spelling of 1167432840 in words is "one billion, one hundred sixty-seven million, four hundred thirty-two thousand, eight hundred forty".