1140831360 has 384 divisors, whose sum is σ = 4163056560. Its totient is φ = 287539200.

The previous prime is 1140831353. The next prime is 1140831407. The reversal of 1140831360 is 631380411.

It can be written as a sum of positive squares in 8 ways, for example, as 1085834304 + 54997056 = 32952^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11295310 + ... + 11295410.

Almost surely, 2^1140831360 is an apocalyptic number.

1140831360 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 1140831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081528280).

1140831360 is an abundant number, since it is smaller than the sum of its proper divisors (3022225200).

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

1140831360 is a wasteful number, since it uses less digits than its factorization.

1140831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1140831360 is about 33776.1951676029. The cubic root of 1140831360 is about 1044.8978052272.

The spelling of 1140831360 in words is "one billion, one hundred forty million, eight hundred thirty-one thousand, three hundred sixty".