864519768 has 384 divisors, whose sum is σ = 3056901120. Its totient is φ = 214917120.

The previous prime is 864519757. The next prime is 864519793. The reversal of 864519768 is 867915468.

864519768 is a `hidden beast` number, since 8 + 64 + 519 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8079571 + ... + 8079677.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^864519768 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 864519768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528450560).

864519768 is an abundant number, since it is smaller than the sum of its proper divisors (2192381352).

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

864519768 is a wasteful number, since it uses less digits than its factorization.

864519768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 864519768 is about 29402.7170173098. The cubic root of 864519768 is about 952.6315836980.

The spelling of 864519768 in words is "eight hundred sixty-four million, five hundred nineteen thousand, seven hundred sixty-eight".