864531360 has 768 divisors, whose sum is σ = 3971358720. Its totient is φ = 170311680.

The previous prime is 864531329. The next prime is 864531361. The reversal of 864531360 is 63135468.

864531360 is a `hidden beast` number, since 8 + 64 + 531 + 3 + 60 = 666.

864531360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (864531361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7650664 + ... + 7650776.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^864531360 is an apocalyptic number.

864531360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

864531360 is an abundant number, since it is smaller than the sum of its proper divisors (3106827360).

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

864531360 is a wasteful number, since it uses less digits than its factorization.

864531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 864531360 is about 29402.9141412888. The cubic root of 864531360 is about 952.6358414977.

The spelling of 864531360 in words is "eight hundred sixty-four million, five hundred thirty-one thousand, three hundred sixty".