852034560 has 352 divisors, whose sum is σ = 3119824512. Its totient is φ = 196608000.

The previous prime is 852034493. The next prime is 852034567. The reversal of 852034560 is 65430258.

It is not an unprimeable number, because it can be changed into a prime (852034567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394435 + ... + 3394685.

Almost surely, 2^852034560 is an apocalyptic number.

852034560 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 852034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559912256).

852034560 is an abundant number, since it is smaller than the sum of its proper divisors (2267789952).

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

852034560 is a wasteful number, since it uses less digits than its factorization.

852034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 852034560 is about 29189.6310356948. The cubic root of 852034560 is about 948.0234287147.

The spelling of 852034560 in words is "eight hundred fifty-two million, thirty-four thousand, five hundred sixty".