1161146880 has 320 divisors, whose sum is σ = 4189553280. Its totient is φ = 304791552.

The previous prime is 1161146849. The next prime is 1161146897. The reversal of 1161146880 is 886411611.

1161146880 is a `hidden beast` number, since 116 + 1 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7395762 + ... + 7395918.

It is an arithmetic number, because the mean of its divisors is an integer number (13092354).

Almost surely, 2^1161146880 is an apocalyptic number.

1161146880 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 1161146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094776640).

1161146880 is an abundant number, since it is smaller than the sum of its proper divisors (3028406400).

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

1161146880 is a wasteful number, since it uses less digits than its factorization.

1161146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1161146880 is about 34075.6053504556. The cubic root of 1161146880 is about 1051.0637383062.

The spelling of 1161146880 in words is "one billion, one hundred sixty-one million, one hundred forty-six thousand, eight hundred eighty".