852010944 has 112 divisors (see below), whose sum is σ = 2381829120. Its totient is φ = 268369920.

The previous prime is 852010889. The next prime is 852010969. The reversal of 852010944 is 449010258.

It is a super-2 number, since 2×852010944² = 1451845297391542272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254272 + ... + 257600.

Almost surely, 2^852010944 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 852010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190914560).

852010944 is an abundant number, since it is smaller than the sum of its proper divisors (1529818176).

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

852010944 is a wasteful number, since it uses less digits than its factorization.

852010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 852010944 is about 29189.2265056819. The cubic root of 852010944 is about 948.0146697867.

The spelling of 852010944 in words is "eight hundred fifty-two million, ten thousand, nine hundred forty-four".