865538352 has 240 divisors, whose sum is σ = 2985523200. Its totient is φ = 239137920.

The previous prime is 865538347. The next prime is 865538411. The reversal of 865538352 is 253835568.

865538352 is a `hidden beast` number, since 8 + 65 + 538 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 865538298 and 865538307.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 655549 + ... + 656867.

It is an arithmetic number, because the mean of its divisors is an integer number (12439680).

Almost surely, 2^865538352 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 865538352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492761600).

865538352 is an abundant number, since it is smaller than the sum of its proper divisors (2119984848).

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

865538352 is a wasteful number, since it uses less digits than its factorization.

865538352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1362 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 865538352 is about 29420.0331746924. The cubic root of 865538352 is about 953.0055695372.

The spelling of 865538352 in words is "eight hundred sixty-five million, five hundred thirty-eight thousand, three hundred fifty-two".