1161866160 has 640 divisors, whose sum is σ = 5159669760. Its totient is φ = 233570304.

The previous prime is 1161866129. The next prime is 1161866171. The reversal of 1161866160 is 616681611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4520752 + ... + 4521008.

It is an arithmetic number, because the mean of its divisors is an integer number (8061984).

Almost surely, 2^1161866160 is an apocalyptic number.

1161866160 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 1161866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579834880).

1161866160 is an abundant number, since it is smaller than the sum of its proper divisors (3997803600).

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

1161866160 is a wasteful number, since it uses less digits than its factorization.

1161866160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1161866160 is about 34086.1578943711. The cubic root of 1161866160 is about 1051.2807229351.

The spelling of 1161866160 in words is "one billion, one hundred sixty-one million, eight hundred sixty-six thousand, one hundred sixty".