1161883800 has 576 divisors, whose sum is σ = 4972181760. Its totient is φ = 236160000.

The previous prime is 1161883787. The next prime is 1161883823. The reversal of 1161883800 is 83881611.

1161883800 is a `hidden beast` number, since 1 + 1 + 618 + 8 + 38 + 0 + 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 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 143 ways as a sum of consecutive naturals, for example, 11503750 + ... + 11503850.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2^1161883800 is an apocalyptic number.

1161883800 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 1161883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

1161883800 is an abundant number, since it is smaller than the sum of its proper divisors (3810297960).

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

1161883800 is a wasteful number, since it uses less digits than its factorization.

1161883800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

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

The square root of 1161883800 is about 34086.4166494514. The cubic root of 1161883800 is about 1051.2860432548.

The spelling of 1161883800 in words is "one billion, one hundred sixty-one million, eight hundred eighty-three thousand, eight hundred".