852820992 has 264 divisors, whose sum is σ = 2633211672. Its totient is φ = 265420800.

The previous prime is 852820981. The next prime is 852821003. The reversal of 852820992 is 299028258.

It is an interprime number because it is at equal distance from previous prime (852820981) and next prime (852821003).

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 851705856 = 1056^2 + 29184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13980642 + ... + 13980702.

Almost surely, 2^852820992 is an apocalyptic number.

852820992 is a gapful number since it is divisible by the number (82) 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 852820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316605836).

852820992 is an abundant number, since it is smaller than the sum of its proper divisors (1780390680).

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

852820992 is a wasteful number, since it uses less digits than its factorization.

852820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 852820992 is about 29203.0990136321. The cubic root of 852820992 is about 948.3150157503.

The spelling of 852820992 in words is "eight hundred fifty-two million, eight hundred twenty thousand, nine hundred ninety-two".