856940616 has 144 divisors (see below), whose sum is σ = 2712282300. Its totient is φ = 243710208.

The previous prime is 856940587. The next prime is 856940629. The reversal of 856940616 is 616049658.

It can be written as a sum of positive squares in 2 ways, for example, as 775399716 + 81540900 = 27846^2 + 9030^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1033290 + ... + 1034118.

Almost surely, 2^856940616 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 856940616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356141150).

856940616 is an abundant number, since it is smaller than the sum of its proper divisors (1855341684).

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

856940616 is a wasteful number, since it uses less digits than its factorization.

856940616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

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

The square root of 856940616 is about 29273.5480596391. The cubic root of 856940616 is about 949.8395355937.

The spelling of 856940616 in words is "eight hundred fifty-six million, nine hundred forty thousand, six hundred sixteen".