856058112 has 288 divisors, whose sum is σ = 3117999360. Its totient is φ = 225607680.

The previous prime is 856058111. The next prime is 856058113. The reversal of 856058112 is 211850658.

856058112 is a `hidden beast` number, since 8 + 5 + 60 + 581 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (856058111) and next prime (856058113).

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

It is a super-2 number, since 2×856058112² = 1465670982242009088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (856058111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628312 + ... + 629672.

Almost surely, 2^856058112 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 856058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558999680).

856058112 is an abundant number, since it is smaller than the sum of its proper divisors (2261941248).

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

856058112 is a wasteful number, since it uses less digits than its factorization.

856058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 856058112 is about 29258.4707734359. The cubic root of 856058112 is about 949.5133655394.

The spelling of 856058112 in words is "eight hundred fifty-six million, fifty-eight thousand, one hundred twelve".