1161010800 has 240 divisors, whose sum is σ = 4161206880. Its totient is φ = 307445760.

The previous prime is 1161010783. The next prime is 1161010811. The reversal of 1161010800 is 80101611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084122 + ... + 2084678.

It is an arithmetic number, because the mean of its divisors is an integer number (17338362).

Almost surely, 2^1161010800 is an apocalyptic number.

1161010800 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 1161010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080603440).

1161010800 is an abundant number, since it is smaller than the sum of its proper divisors (3000196080).

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

1161010800 is a wasteful number, since it uses less digits than its factorization.

1161010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1161010800 is about 34073.6085555962. The cubic root of 1161010800 is about 1051.0226770809.

The spelling of 1161010800 in words is "one billion, one hundred sixty-one million, ten thousand, eight hundred".