1159540640 has 96 divisors (see below), whose sum is σ = 2847474000. Its totient is φ = 445677568.

The previous prime is 1159540609. The next prime is 1159540651. The reversal of 1159540640 is 460459511.

It can be written as a sum of positive squares in 8 ways, for example, as 22771984 + 1136768656 = 4772^2 + 33716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1159540640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247696 + ... + 1248624.

Almost surely, 2^1159540640 is an apocalyptic number.

1159540640 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 1159540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423737000).

1159540640 is an abundant number, since it is smaller than the sum of its proper divisors (1687933360).

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

1159540640 is a wasteful number, since it uses less digits than its factorization.

1159540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 1159540640 is about 34052.0284270996. The cubic root of 1159540640 is about 1050.5788614670.

The spelling of 1159540640 in words is "one billion, one hundred fifty-nine million, five hundred forty thousand, six hundred forty".