852535040 has 288 divisors, whose sum is σ = 2569553280. Its totient is φ = 264241152.

The previous prime is 852535027. The next prime is 852535067. The reversal of 852535040 is 40535258.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 852534988 and 852535006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4417184 + ... + 4417376.

It is an arithmetic number, because the mean of its divisors is an integer number (8922060).

Almost surely, 2^852535040 is an apocalyptic number.

852535040 is a gapful number since it is divisible by the number (80) 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 852535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284776640).

852535040 is an abundant number, since it is smaller than the sum of its proper divisors (1717018240).

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

852535040 is a wasteful number, since it uses less digits than its factorization.

852535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 852535040 is about 29198.2026844119. The cubic root of 852535040 is about 948.2090134780.

The spelling of 852535040 in words is "eight hundred fifty-two million, five hundred thirty-five thousand, forty".