1868312160 has 576 divisors, whose sum is σ = 7700749056. Its totient is φ = 406425600.

The previous prime is 1868312143. The next prime is 1868312167. The reversal of 1868312160 is 612138681.

1868312160 is a `hidden beast` number, since 186 + 8 + 312 + 160 = 666.

1868312160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868312167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8854455 + ... + 8854665.

It is an arithmetic number, because the mean of its divisors is an integer number (13369356).

Almost surely, 2^1868312160 is an apocalyptic number.

1868312160 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 1868312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850374528).

1868312160 is an abundant number, since it is smaller than the sum of its proper divisors (5832436896).

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

1868312160 is a wasteful number, since it uses less digits than its factorization.

1868312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1868312160 is about 43223.9766796161. The cubic root of 1868312160 is about 1231.6381899827.

It can be divided in two parts, 1868 and 312160, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 1868312160 in words is "one billion, eight hundred sixty-eight million, three hundred twelve thousand, one hundred sixty".