852593616 has 120 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 238987008.

The previous prime is 852593611. The next prime is 852593633. The reversal of 852593616 is 616395258.

852593616 is a `hidden beast` number, since 8 + 5 + 25 + 9 + 3 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852593611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45445 + ... + 61403.

It is an arithmetic number, because the mean of its divisors is an integer number (23154768).

Almost surely, 2^852593616 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 852593616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

852593616 is an abundant number, since it is smaller than the sum of its proper divisors (1925978544).

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

852593616 is a wasteful number, since it uses less digits than its factorization.

852593616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033 (or 16024 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 852593616 is about 29199.2057426225. The cubic root of 852593616 is about 948.2307295039.

The spelling of 852593616 in words is "eight hundred fifty-two million, five hundred ninety-three thousand, six hundred sixteen".