852008064 has 32 divisors (see below), whose sum is σ = 2263147440. Its totient is φ = 284002560.

The previous prime is 852008041. The next prime is 852008077. The reversal of 852008064 is 460800258.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×852008064² = 1451835482242056192, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1109002 + ... + 1109769.

Almost surely, 2^852008064 is an apocalyptic number.

It is an amenable number.

852008064 is an abundant number, since it is smaller than the sum of its proper divisors (1411139376).

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

852008064 is a wasteful number, since it uses less digits than its factorization.

852008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218788 (or 2218776 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 852008064 is about 29189.1771723699. The cubic root of 852008064 is about 948.0136016137.

The spelling of 852008064 in words is "eight hundred fifty-two million, eight thousand, sixty-four".