1861208160 has 144 divisors (see below), whose sum is σ = 6820084656. Its totient is φ = 425413632.

The previous prime is 1861208147. The next prime is 1861208171. The reversal of 1861208160 is 618021681.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16047 + ... + 63086.

It is an arithmetic number, because the mean of its divisors is an integer number (47361699).

Almost surely, 2^1861208160 is an apocalyptic number.

1861208160 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 1861208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410042328).

1861208160 is an abundant number, since it is smaller than the sum of its proper divisors (4958876496).

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

1861208160 is a wasteful number, since it uses less digits than its factorization.

1861208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79165 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1861208160 is about 43141.7218015229. The cubic root of 1861208160 is about 1230.0751623049.

The spelling of 1861208160 in words is "one billion, eight hundred sixty-one million, two hundred eight thousand, one hundred sixty".