852606080 has 64 divisors (see below), whose sum is σ = 2042972280. Its totient is φ = 340254720.

The previous prime is 852606077. The next prime is 852606121. The reversal of 852606080 is 80606258.

It can be written as a sum of positive squares in 4 ways, for example, as 573315136 + 279290944 = 23944^2 + 16712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 852606080.

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 7 ways as a sum of consecutive naturals, for example, 332162 + ... + 334718.

Almost surely, 2^852606080 is an apocalyptic number.

852606080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021486140).

852606080 is an abundant number, since it is smaller than the sum of its proper divisors (1190366200).

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

852606080 is a wasteful number, since it uses less digits than its factorization.

852606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 852606080 is about 29199.4191723055. The cubic root of 852606080 is about 948.2353501852.

The spelling of 852606080 in words is "eight hundred fifty-two million, six hundred six thousand, eighty".