864215352 has 384 divisors, whose sum is σ = 3286483200. Its totient is φ = 206841600.

The previous prime is 864215351. The next prime is 864215357. The reversal of 864215352 is 253512468.

864215352 is a `hidden beast` number, since 8 + 642 + 1 + 5 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864215351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513227 + ... + 1513797.

It is an arithmetic number, because the mean of its divisors is an integer number (8558550).

Almost surely, 2^864215352 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 864215352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643241600).

864215352 is an abundant number, since it is smaller than the sum of its proper divisors (2422267848).

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

864215352 is a wasteful number, since it uses less digits than its factorization.

864215352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 864215352 is about 29397.5398970730. The cubic root of 864215352 is about 952.5197565497.

The spelling of 864215352 in words is "eight hundred sixty-four million, two hundred fifteen thousand, three hundred fifty-two".