852695424 has 320 divisors, whose sum is σ = 3001574400. Its totient is φ = 235146240.

The previous prime is 852695419. The next prime is 852695483. The reversal of 852695424 is 424596258.

852695424 is a `hidden beast` number, since 85 + 26 + 9 + 542 + 4 = 666.

It is a super-2 number, since 2×852695424² = 1454178972221079552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 852695424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249667 + ... + 2250045.

It is an arithmetic number, because the mean of its divisors is an integer number (9379920).

Almost surely, 2^852695424 is an apocalyptic number.

852695424 is a gapful number since it is divisible by the number (84) 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 852695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500787200).

852695424 is an abundant number, since it is smaller than the sum of its proper divisors (2148878976).

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

852695424 is a wasteful number, since it uses less digits than its factorization.

852695424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 422 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 852695424 is about 29200.9490256738. The cubic root of 852695424 is about 948.2684706700.

The spelling of 852695424 in words is "eight hundred fifty-two million, six hundred ninety-five thousand, four hundred twenty-four".