1864170864 has 180 divisors, whose sum is σ = 5682541800. Its totient is φ = 568892160.

The previous prime is 1864170829. The next prime is 1864170901. The reversal of 1864170864 is 4680714681.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2628942 + ... + 2629650.

Almost surely, 2^1864170864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1864170864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841270900).

1864170864 is an abundant number, since it is smaller than the sum of its proper divisors (3818370936).

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

1864170864 is a wasteful number, since it uses less digits than its factorization.

1864170864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1864170864 is about 43176.0450249904. The cubic root of 1864170864 is about 1230.7275014105.

The spelling of 1864170864 in words is "one billion, eight hundred sixty-four million, one hundred seventy thousand, eight hundred sixty-four".