1866164688 has 60 divisors (see below), whose sum is σ = 5248994400. Its totient is φ = 618919488.

The previous prime is 1866164687. The next prime is 1866164689. The reversal of 1866164688 is 8864616681.

1866164688 is a `hidden beast` number, since 18 + 6 + 616 + 4 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1866164687) and next prime (1866164689).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866164683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3906 + ... + 61217.

It is an arithmetic number, because the mean of its divisors is an integer number (87483240).

Almost surely, 2^1866164688 is an apocalyptic number.

1866164688 is a gapful number since it is divisible by the number (18) 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 1866164688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624497200).

1866164688 is an abundant number, since it is smaller than the sum of its proper divisors (3382829712).

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

1866164688 is a wasteful number, since it uses less digits than its factorization.

1866164688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65336 (or 65327 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1866164688 is about 43199.1283245391. The cubic root of 1866164688 is about 1231.1661199507.

The spelling of 1866164688 in words is "one billion, eight hundred sixty-six million, one hundred sixty-four thousand, six hundred eighty-eight".