857106432 has 432 divisors, whose sum is σ = 3143633220. Its totient is φ = 222953472.

The previous prime is 857106403. The next prime is 857106433. The reversal of 857106432 is 234601758.

857106432 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 22127616 = 28896^2 + 4704^2 .

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 (857106433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741148 + ... + 11741220.

Almost surely, 2^857106432 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 857106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571816610).

857106432 is an abundant number, since it is smaller than the sum of its proper divisors (2286526788).

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

857106432 is a wasteful number, since it uses less digits than its factorization.

857106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 857106432 is about 29276.3801041044. The cubic root of 857106432 is about 949.9007955504.

The spelling of 857106432 in words is "eight hundred fifty-seven million, one hundred six thousand, four hundred thirty-two".