864546264 has 128 divisors (see below), whose sum is σ = 2532211200. Its totient is φ = 272764800.

The previous prime is 864546257. The next prime is 864546299. The reversal of 864546264 is 462645468.

864546264 is a `hidden beast` number, since 86 + 4 + 546 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500907 + ... + 502629.

It is an arithmetic number, because the mean of its divisors is an integer number (19782900).

Almost surely, 2^864546264 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 864546264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266105600).

864546264 is an abundant number, since it is smaller than the sum of its proper divisors (1667664936).

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

864546264 is a wasteful number, since it uses less digits than its factorization.

864546264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 864546264 is about 29403.1675844627. The cubic root of 864546264 is about 952.6413157556.

The spelling of 864546264 in words is "eight hundred sixty-four million, five hundred forty-six thousand, two hundred sixty-four".