1161823680 has 168 divisors, whose sum is σ = 4104570912. Its totient is φ = 301418496.

The previous prime is 1161823669. The next prime is 1161823681. The reversal of 1161823680 is 863281611.

1161823680 is a `hidden beast` number, since 1 + 1 + 618 + 2 + 36 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161823681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101109 + ... + 112011.

Almost surely, 2^1161823680 is an apocalyptic number.

1161823680 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 1161823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052285456).

1161823680 is an abundant number, since it is smaller than the sum of its proper divisors (2942747232).

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

1161823680 is a wasteful number, since it uses less digits than its factorization.

1161823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1161823680 is about 34085.5347618312. The cubic root of 1161823680 is about 1051.2679105158.

The spelling of 1161823680 in words is "one billion, one hundred sixty-one million, eight hundred twenty-three thousand, six hundred eighty".