852815040 has 448 divisors, whose sum is σ = 3441070080. Its totient is φ = 173813760.

The previous prime is 852815039. The next prime is 852815063. The reversal of 852815040 is 40518258.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 852814992 and 852815010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6135291 + ... + 6135429.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^852815040 is an apocalyptic number.

852815040 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 852815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

852815040 is an abundant number, since it is smaller than the sum of its proper divisors (2588255040).

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

852815040 is a wasteful number, since it uses less digits than its factorization.

852815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 852815040 is about 29202.9971064615. The cubic root of 852815040 is about 948.3128095882.

The spelling of 852815040 in words is "eight hundred fifty-two million, eight hundred fifteen thousand, forty".