856221696 has 288 divisors, whose sum is σ = 2790365760. Its totient is φ = 250675200.

The previous prime is 856221683. The next prime is 856221697. The reversal of 856221696 is 696122658.

856221696 is a `hidden beast` number, since 8 + 5 + 622 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×856221696² = 1466231185402232832, which contains 22 as substring.

Its product of digits (311040) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (856221697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8312781 + ... + 8312883.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^856221696 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 856221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

856221696 is an abundant number, since it is smaller than the sum of its proper divisors (1934144064).

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

856221696 is a wasteful number, since it uses less digits than its factorization.

856221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 856221696 is about 29261.2661380194. The cubic root of 856221696 is about 949.5738424703.

The spelling of 856221696 in words is "eight hundred fifty-six million, two hundred twenty-one thousand, six hundred ninety-six".