852520032 has 288 divisors, whose sum is σ = 3116988000. Its totient is φ = 224695296.

The previous prime is 852520027. The next prime is 852520033. The reversal of 852520032 is 230025258.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×852520032² = 1453580809922562048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 852519978 and 852520005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852520033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549594 + ... + 551142.

It is an arithmetic number, because the mean of its divisors is an integer number (10822875).

Almost surely, 2^852520032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494000).

852520032 is an abundant number, since it is smaller than the sum of its proper divisors (2264467968).

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

852520032 is a wasteful number, since it uses less digits than its factorization.

852520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 852520032 is about 29197.9456811605. The cubic root of 852520032 is about 948.2034493648.

The spelling of 852520032 in words is "eight hundred fifty-two million, five hundred twenty thousand, thirty-two".