857316096 has 576 divisors, whose sum is σ = 3296563200. Its totient is φ = 213663744.

The previous prime is 857316073. The next prime is 857316113. The reversal of 857316096 is 690613758.

It is a happy number.

857316096 is a `hidden beast` number, since 8 + 5 + 7 + 31 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240745 + ... + 18240791.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2^857316096 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 857316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

857316096 is an abundant number, since it is smaller than the sum of its proper divisors (2439247104).

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

857316096 is a wasteful number, since it uses less digits than its factorization.

857316096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 857316096 is about 29279.9606557113. The cubic root of 857316096 is about 949.9782436384.

The spelling of 857316096 in words is "eight hundred fifty-seven million, three hundred sixteen thousand, ninety-six".