864518652 has 72 divisors (see below), whose sum is σ = 2265681600. Its totient is φ = 277619328.

The previous prime is 864518651. The next prime is 864518659. The reversal of 864518652 is 256815468.

864518652 is a `hidden beast` number, since 86 + 4 + 518 + 6 + 52 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 864518598 and 864518607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864518651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831549 + ... + 832587.

It is an arithmetic number, because the mean of its divisors is an integer number (31467800).

Almost surely, 2^864518652 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 864518652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132840800).

864518652 is an abundant number, since it is smaller than the sum of its proper divisors (1401162948).

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

864518652 is a wasteful number, since it uses less digits than its factorization.

864518652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1870 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 864518652 is about 29402.6980394657. The cubic root of 864518652 is about 952.6311737836.

The spelling of 864518652 in words is "eight hundred sixty-four million, five hundred eighteen thousand, six hundred fifty-two".