852806016 has 256 divisors, whose sum is σ = 2663424000. Its totient is φ = 268240896.

The previous prime is 852806011. The next prime is 852806021. The reversal of 852806016 is 610608258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (852806011) and next prime (852806021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852806011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6714945 + ... + 6715071.

It is an arithmetic number, because the mean of its divisors is an integer number (10404000).

Almost surely, 2^852806016 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 852806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331712000).

852806016 is an abundant number, since it is smaller than the sum of its proper divisors (1810617984).

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

852806016 is a wasteful number, since it uses less digits than its factorization.

852806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 852806016 is about 29202.8426013633. The cubic root of 852806016 is about 948.3094647422.

The spelling of 852806016 in words is "eight hundred fifty-two million, eight hundred six thousand, sixteen".