856215360 has 1008 divisors, whose sum is σ = 4131673728. Its totient is φ = 164229120.

The previous prime is 856215317. The next prime is 856215361. The reversal of 856215360 is 63512658.

856215360 is a `hidden beast` number, since 85 + 6 + 215 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (856215361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862714 + ... + 65862726.

Almost surely, 2^856215360 is an apocalyptic number.

856215360 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 856215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065836864).

856215360 is an abundant number, since it is smaller than the sum of its proper divisors (3275458368).

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

856215360 is a wasteful number, since it uses less digits than its factorization.

856215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 856215360 is about 29261.1578718273. The cubic root of 856215360 is about 949.5715001973.

The spelling of 856215360 in words is "eight hundred fifty-six million, two hundred fifteen thousand, three hundred sixty".