856633536 has 336 divisors, whose sum is σ = 2943087840. Its totient is φ = 243302400.

The previous prime is 856633517. The next prime is 856633537. The reversal of 856633536 is 635336658.

856633536 is a `hidden beast` number, since 8 + 5 + 6 + 633 + 5 + 3 + 6 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 856633491 and 856633500.

It is not an unprimeable number, because it can be changed into a prime (856633537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554376 + ... + 3554616.

It is an arithmetic number, because the mean of its divisors is an integer number (8759190).

Almost surely, 2^856633536 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 856633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471543920).

856633536 is an abundant number, since it is smaller than the sum of its proper divisors (2086454304).

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

856633536 is a wasteful number, since it uses less digits than its factorization.

856633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 856633536 is about 29268.3025814617. The cubic root of 856633536 is about 949.7260654316.

The spelling of 856633536 in words is "eight hundred fifty-six million, six hundred thirty-three thousand, five hundred thirty-six".