1159266240 has 672 divisors, whose sum is σ = 4770095616. Its totient is φ = 255467520.

The previous prime is 1159266187. The next prime is 1159266257. The reversal of 1159266240 is 426629511.

1159266240 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 26 + 624 + 0 = 666.

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 = 1159266195 and 1159266204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26959659 + ... + 26959701.

Almost surely, 2^1159266240 is an apocalyptic number.

1159266240 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 1159266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385047808).

1159266240 is an abundant number, since it is smaller than the sum of its proper divisors (3610829376).

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

1159266240 is a wasteful number, since it uses less digits than its factorization.

1159266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1159266240 is about 34047.9990601504. Note that the first 3 decimals coincide. The cubic root of 1159266240 is about 1050.4959833649.

The spelling of 1159266240 in words is "one billion, one hundred fifty-nine million, two hundred sixty-six thousand, two hundred forty".