852873616 has 75 divisors (see below), whose sum is σ = 1940759681. Its totient is φ = 363064128.

The previous prime is 852873599. The next prime is 852873617. The reversal of 852873616 is 616378258.

The square root of 852873616 is 29204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 752953600 = 9996^2 + 27440^2 .

It is not an unprimeable number, because it can be changed into a prime (852873617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5723910 + ... + 5724058.

Almost surely, 2^852873616 is an apocalyptic number.

852873616 is the 29204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852873616

852873616 is an abundant number, since it is smaller than the sum of its proper divisors (1087886065).

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

852873616 is an frugal number, since it uses more digits than its factorization.

852873616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 158 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The cubic root of 852873616 is about 948.3345208608.

The spelling of 852873616 in words is "eight hundred fifty-two million, eight hundred seventy-three thousand, six hundred sixteen".