864144576 has 84 divisors (see below), whose sum is σ = 2496628992. Its totient is φ = 285755904.

The previous prime is 864144571. The next prime is 864144613. The reversal of 864144576 is 675441468.

864144576 is a `hidden beast` number, since 8 + 64 + 14 + 4 + 576 = 666.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (864144571) 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, 67246 + ... + 79058.

Almost surely, 2^864144576 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 864144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248314496).

864144576 is an abundant number, since it is smaller than the sum of its proper divisors (1632484416).

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

864144576 is a wasteful number, since it uses less digits than its factorization.

864144576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11958 (or 11945 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 864144576 is about 29396.3360982283. The cubic root of 864144576 is about 952.4937532399.

The spelling of 864144576 in words is "eight hundred sixty-four million, one hundred forty-four thousand, five hundred seventy-six".