1161610800 has 240 divisors, whose sum is σ = 4324223232. Its totient is φ = 261043200.

The previous prime is 1161610789. The next prime is 1161610829. The reversal of 1161610800 is 80161611.

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511267 + ... + 513533.

Almost surely, 2^1161610800 is an apocalyptic number.

1161610800 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 1161610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162111616).

1161610800 is an abundant number, since it is smaller than the sum of its proper divisors (3162612432).

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

1161610800 is a wasteful number, since it uses less digits than its factorization.

1161610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1161610800 is about 34082.4118864848. The cubic root of 1161610800 is about 1051.2036989415.

The spelling of 1161610800 in words is "one billion, one hundred sixty-one million, six hundred ten thousand, eight hundred".