857216 has 32 divisors (see below), whose sum is σ = 1763580. Its totient is φ = 414720.

The previous prime is 857203. The next prime is 857221. The reversal of 857216 is 612758.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 10816 = 920^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

857216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4646 + ... + 4826.

2⁸⁵⁷²¹⁶ 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 857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881790).

857216 is an abundant number, since it is smaller than the sum of its proper divisors (906364).

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

857216 is a wasteful number, since it uses less digits than its factorization.

857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 857216 is about 925.8596005875. The cubic root of 857216 is about 94.9941270608.

The spelling of 857216 in words is "eight hundred fifty-seven thousand, two hundred sixteen".