856512000 has 240 divisors, whose sum is σ = 3087070272. Its totient is φ = 228249600.

The previous prime is 856511947. The next prime is 856512011. The reversal of 856512000 is 215658.

856512000 is a `hidden beast` number, since 8 + 5 + 651 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×856512000² = 1467225612288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 575257 + ... + 576743.

Almost surely, 2^856512000 is an apocalyptic number.

856512000 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 856512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543535136).

856512000 is an abundant number, since it is smaller than the sum of its proper divisors (2230558272).

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

856512000 is a wasteful number, since it uses less digits than its factorization.

856512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 856512000 is about 29266.2262685164. The cubic root of 856512000 is about 949.6811487660.

Adding to 856512000 its reverse (215658), we get a palindrome (856727658).

The spelling of 856512000 in words is "eight hundred fifty-six million, five hundred twelve thousand".