1864086120 has 384 divisors, whose sum is σ = 6832425600. Its totient is φ = 437778432.

The previous prime is 1864086101. The next prime is 1864086121. The reversal of 1864086120 is 216804681.

1864086120 is a `hidden beast` number, since 1 + 8 + 640 + 8 + 6 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1864086121) 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 95 ways as a sum of consecutive naturals, for example, 11873082 + ... + 11873238.

It is an arithmetic number, because the mean of its divisors is an integer number (17792775).

Almost surely, 2^1864086120 is an apocalyptic number.

1864086120 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 1864086120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416212800).

1864086120 is an abundant number, since it is smaller than the sum of its proper divisors (4968339480).

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

1864086120 is a wasteful number, since it uses less digits than its factorization.

1864086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1864086120 is about 43175.0636363167. The cubic root of 1864086120 is about 1230.7088517695.

The spelling of 1864086120 in words is "one billion, eight hundred sixty-four million, eighty-six thousand, one hundred twenty".