865224000 has 336 divisors, whose sum is σ = 3161757456. Its totient is φ = 225792000.

The previous prime is 865223923. The next prime is 865224001. The reversal of 865224000 is 422568.

865224000 is a `hidden beast` number, since 8 + 652 + 2 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 264777984 + 600446016 = 16272^2 + 24504^2 .

It is a super-2 number, since 2×865224000² = 1497225140352000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4391902 + ... + 4392098.

Almost surely, 2^865224000 is an apocalyptic number.

865224000 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 865224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580878728).

865224000 is an abundant number, since it is smaller than the sum of its proper divisors (2296533456).

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

865224000 is a wasteful number, since it uses less digits than its factorization.

865224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 865224000 is about 29414.6902074457. The cubic root of 865224000 is about 952.8901825909.

Adding to 865224000 its reverse (422568), we get a palindrome (865646568).

The spelling of 865224000 in words is "eight hundred sixty-five million, two hundred twenty-four thousand".