855945216 has 312 divisors, whose sum is σ = 2944041984. Its totient is φ = 234455040.

The previous prime is 855945191. The next prime is 855945263. The reversal of 855945216 is 612549558.

855945216 is a `hidden beast` number, since 8 + 5 + 594 + 52 + 1 + 6 = 666.

Its product of digits (432000) is a multiple of the sum of its prime divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999435 + ... + 7999541.

It is an arithmetic number, because the mean of its divisors is an integer number (9436032).

Almost surely, 2^855945216 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 855945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472020992).

855945216 is an abundant number, since it is smaller than the sum of its proper divisors (2088096768).

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

855945216 is a wasteful number, since it uses less digits than its factorization.

855945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 855945216 is about 29256.5414223896. The cubic root of 855945216 is about 949.4716234458.

The spelling of 855945216 in words is "eight hundred fifty-five million, nine hundred forty-five thousand, two hundred sixteen".