1159331840 has 144 divisors (see below), whose sum is σ = 2925515880. Its totient is φ = 440401920.

The previous prime is 1159331837. The next prime is 1159331851. The reversal of 1159331840 is 481339511.

It can be written as a sum of positive squares in 4 ways, for example, as 616628224 + 542703616 = 24832^2 + 23296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1159331840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19005410 + ... + 19005470.

Almost surely, 2^1159331840 is an apocalyptic number.

1159331840 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 1159331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462757940).

1159331840 is an abundant number, since it is smaller than the sum of its proper divisors (1766184040).

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

1159331840 is an frugal number, since it uses more digits than its factorization.

1159331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1159331840 is about 34048.9623924137. The cubic root of 1159331840 is about 1050.5157979782.

The spelling of 1159331840 in words is "one billion, one hundred fifty-nine million, three hundred thirty-one thousand, eight hundred forty".