1161041760 has 216 divisors, whose sum is σ = 4098865680. Its totient is φ = 299266560.

The previous prime is 1161041681. The next prime is 1161041773. The reversal of 1161041760 is 671401611.

1161041760 is a `hidden beast` number, since 1 + 1 + 610 + 41 + 7 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383421 + ... + 1384259.

It is an arithmetic number, because the mean of its divisors is an integer number (18976230).

Almost surely, 2^1161041760 is an apocalyptic number.

1161041760 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 1161041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049432840).

1161041760 is an abundant number, since it is smaller than the sum of its proper divisors (2937823920).

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

1161041760 is a wasteful number, since it uses less digits than its factorization.

1161041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1161041760 is about 34074.0628631221. The cubic root of 1161041760 is about 1051.0320193347.

The spelling of 1161041760 in words is "one billion, one hundred sixty-one million, forty-one thousand, seven hundred sixty".