1861068384 has 288 divisors, whose sum is σ = 6328498176. Its totient is φ = 507617280.

The previous prime is 1861068379. The next prime is 1861068389. The reversal of 1861068384 is 4838601681.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1861068379) and next prime (1861068389).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1861068389) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6061959 + ... + 6062265.

It is an arithmetic number, because the mean of its divisors is an integer number (21973952).

Almost surely, 2^1861068384 is an apocalyptic number.

1861068384 is a gapful number since it is divisible by the number (14) 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 1861068384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164249088).

1861068384 is an abundant number, since it is smaller than the sum of its proper divisors (4467429792).

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

1861068384 is a wasteful number, since it uses less digits than its factorization.

1861068384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1861068384 is about 43140.1018079466. The cubic root of 1861068384 is about 1230.0443688139.

The spelling of 1861068384 in words is "one billion, eight hundred sixty-one million, sixty-eight thousand, three hundred eighty-four".