1159971840 has 220 divisors, whose sum is σ = 4158169356. Its totient is φ = 309215232.

The previous prime is 1159971823. The next prime is 1159971851. The reversal of 1159971840 is 481799511.

It is a happy number.

1159971840 is a `hidden beast` number, since 1 + 1 + 599 + 7 + 18 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642318336 + 517653504 = 25344^2 + 22752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413322 + ... + 416118.

Almost surely, 2^1159971840 is an apocalyptic number.

1159971840 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 1159971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079084678).

1159971840 is an abundant number, since it is smaller than the sum of its proper divisors (2998197516).

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

1159971840 is an equidigital number, since it uses as much as digits as its factorization.

1159971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The square root of 1159971840 is about 34058.3593263093. The cubic root of 1159971840 is about 1050.7090720715.

The spelling of 1159971840 in words is "one billion, one hundred fifty-nine million, nine hundred seventy-one thousand, eight hundred forty".