852618312 has 320 divisors, whose sum is σ = 3097987200. Its totient is φ = 212751360.

The previous prime is 852618287. The next prime is 852618313. The reversal of 852618312 is 213816258.

It is a happy number.

852618312 is a `hidden beast` number, since 8 + 5 + 2 + 618 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (852618313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120012 + ... + 1120772.

It is an arithmetic number, because the mean of its divisors is an integer number (9681210).

Almost surely, 2^852618312 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 852618312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548993600).

852618312 is an abundant number, since it is smaller than the sum of its proper divisors (2245368888).

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

852618312 is a wasteful number, since it uses less digits than its factorization.

852618312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 852618312 is about 29199.6286277754. The cubic root of 852618312 is about 948.2398848152.

The spelling of 852618312 in words is "eight hundred fifty-two million, six hundred eighteen thousand, three hundred twelve".