852026208 has 96 divisors (see below), whose sum is σ = 2469543552. Its totient is φ = 255052800.

The previous prime is 852026183. The next prime is 852026221. The reversal of 852026208 is 802620258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 82788 + ... + 92508.

It is an arithmetic number, because the mean of its divisors is an integer number (25724412).

Almost surely, 2^852026208 is an apocalyptic number.

852026208 is a gapful number since it is divisible by the number (88) 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 852026208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234771776).

852026208 is an abundant number, since it is smaller than the sum of its proper divisors (1617517344).

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

852026208 is a wasteful number, since it uses less digits than its factorization.

852026208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828 (or 9820 counting only the distinct ones).

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

The square root of 852026208 is about 29189.4879708432. The cubic root of 852026208 is about 948.0203310636.

The spelling of 852026208 in words is "eight hundred fifty-two million, twenty-six thousand, two hundred eight".