856933620 has 192 divisors, whose sum is σ = 2690537472. Its totient is φ = 202752000.

The previous prime is 856933537. The next prime is 856933633. The reversal of 856933620 is 26339658.

856933620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 1296090 + ... + 1296750.

It is an arithmetic number, because the mean of its divisors is an integer number (14013216).

Almost surely, 2^856933620 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 856933620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345268736).

856933620 is an abundant number, since it is smaller than the sum of its proper divisors (1833603852).

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

856933620 is a wasteful number, since it uses less digits than its factorization.

856933620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 856933620 is about 29273.4285658513. The cubic root of 856933620 is about 949.8369507800.

The spelling of 856933620 in words is "eight hundred fifty-six million, nine hundred thirty-three thousand, six hundred twenty".