852640 has 36 divisors (see below), whose sum is σ = 2042334. Its totient is φ = 336384.

The previous prime is 852623. The next prime is 852641. The reversal of 852640 is 46258.

852640 = 70² + 71² + ... + 142².

It can be written as a sum of positive squares in 3 ways, for example, as 725904 + 126736 = 852^2 + 356^2 .

It is not an unprimeable number, because it can be changed into a prime (852641) by changing a digit.

852640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11644 + ... + 11716.

2⁸⁵²⁶⁴⁰ is an apocalyptic number.

852640 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 852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021167).

852640 is an abundant number, since it is smaller than the sum of its proper divisors (1189694).

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

852640 is an equidigital number, since it uses as much as digits as its factorization.

852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 852640 is about 923.3850767692. The cubic root of 852640 is about 94.8247924854.

Adding to 852640 its reverse (46258), we get a palindrome (898898).

The spelling of 852640 in words is "eight hundred fifty-two thousand, six hundred forty".