852618560 has 112 divisors (see below), whose sum is σ = 2128723200. Its totient is φ = 324839424.

The previous prime is 852618553. The next prime is 852618661. The reversal of 852618560 is 65816258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732539 + ... + 733701.

Almost surely, 2^852618560 is an apocalyptic number.

852618560 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 852618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064361600).

852618560 is an abundant number, since it is smaller than the sum of its proper divisors (1276104640).

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

852618560 is a wasteful number, since it uses less digits than its factorization.

852618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 852618560 is about 29199.6328744044. The cubic root of 852618560 is about 948.2399767530.

The spelling of 852618560 in words is "eight hundred fifty-two million, six hundred eighteen thousand, five hundred sixty".