852575040 has 336 divisors, whose sum is σ = 3124907136. Its totient is φ = 212889600.

The previous prime is 852575039. The next prime is 852575047. The reversal of 852575040 is 40575258.

It is a happy number.

852575040 is a `hidden beast` number, since 85 + 2 + 575 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 852574986 and 852575004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852575047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4040535 + ... + 4040745.

Almost surely, 2^852575040 is an apocalyptic number.

852575040 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 852575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562453568).

852575040 is an abundant number, since it is smaller than the sum of its proper divisors (2272332096).

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

852575040 is a wasteful number, since it uses less digits than its factorization.

852575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 852575040 is about 29198.8876500458. The cubic root of 852575040 is about 948.2238428850.

The spelling of 852575040 in words is "eight hundred fifty-two million, five hundred seventy-five thousand, forty".