852261340 has 192 divisors, whose sum is σ = 2334044160. Its totient is φ = 254361600.

The previous prime is 852261307. The next prime is 852261341. The reversal of 852261340 is 43162258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852261341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125140 + ... + 2125540.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2^852261340 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 852261340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167022080).

852261340 is an abundant number, since it is smaller than the sum of its proper divisors (1481782820).

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

852261340 is a wasteful number, since it uses less digits than its factorization.

852261340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 852261340 is about 29193.5153758502. The cubic root of 852261340 is about 948.1075308125.

The spelling of 852261340 in words is "eight hundred fifty-two million, two hundred sixty-one thousand, three hundred forty".