852336576 has 504 divisors, whose sum is σ = 3225235104. Its totient is φ = 212889600.

The previous prime is 852336571. The next prime is 852336613. The reversal of 852336576 is 675633258.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852336571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8438926 + ... + 8439026.

It is an arithmetic number, because the mean of its divisors is an integer number (6399276).

Almost surely, 2^852336576 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 852336576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612617552).

852336576 is an abundant number, since it is smaller than the sum of its proper divisors (2372898528).

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

852336576 is a wasteful number, since it uses less digits than its factorization.

852336576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 852336576 is about 29194.8039212460. The cubic root of 852336576 is about 948.1354290310.

It can be divided in two parts, 85233 and 6576, that added together give a square (91809 = 303²).

The spelling of 852336576 in words is "eight hundred fifty-two million, three hundred thirty-six thousand, five hundred seventy-six".