852567540 has 96 divisors (see below), whose sum is σ = 2653451136. Its totient is φ = 202775040.

The previous prime is 852567517. The next prime is 852567553. The reversal of 852567540 is 45765258.

852567540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 852567492 and 852567501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794 + ... + 47166.

It is an arithmetic number, because the mean of its divisors is an integer number (27640116).

Almost surely, 2^852567540 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 852567540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326725568).

852567540 is an abundant number, since it is smaller than the sum of its proper divisors (1800883596).

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

852567540 is a wasteful number, since it uses less digits than its factorization.

852567540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24449 (or 24447 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 852567540 is about 29198.7592202135. The cubic root of 852567540 is about 948.2210624065.

The spelling of 852567540 in words is "eight hundred fifty-two million, five hundred sixty-seven thousand, five hundred forty".