1161871300 has 72 divisors (see below), whose sum is σ = 2581850376. Its totient is φ = 453672960.

The previous prime is 1161871259. The next prime is 1161871327. The reversal of 1161871300 is 31781611.

It can be written as a sum of positive squares in 12 ways, for example, as 145154304 + 1016716996 = 12048^2 + 31886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361674 + ... + 1362526.

It is an arithmetic number, because the mean of its divisors is an integer number (35859033).

Almost surely, 2^1161871300 is an apocalyptic number.

1161871300 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 1161871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290925188).

1161871300 is an abundant number, since it is smaller than the sum of its proper divisors (1419979076).

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

1161871300 is a wasteful number, since it uses less digits than its factorization.

1161871300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 1161871300 is about 34086.2332914624. The cubic root of 1161871300 is about 1051.2822731925.

The spelling of 1161871300 in words is "one billion, one hundred sixty-one million, eight hundred seventy-one thousand, three hundred".