1159646640 has 160 divisors (see below), whose sum is σ = 3673306560. Its totient is φ = 302579712.

The previous prime is 1159646603. The next prime is 1159646659. The reversal of 1159646640 is 466469511.

It is a junction number, because it is equal to n+sod(n) for n = 1159646592 and 1159646601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2537292 + ... + 2537748.

It is an arithmetic number, because the mean of its divisors is an integer number (22958166).

Almost surely, 2^1159646640 is an apocalyptic number.

1159646640 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 1159646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836653280).

1159646640 is an abundant number, since it is smaller than the sum of its proper divisors (2513659920).

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

1159646640 is a wasteful number, since it uses less digits than its factorization.

1159646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1159646640 is about 34053.5848333182. The cubic root of 1159646640 is about 1050.6108735593.

The spelling of 1159646640 in words is "one billion, one hundred fifty-nine million, six hundred forty-six thousand, six hundred forty".