527560 has 48 divisors (see below), whose sum is σ = 1316700. Its totient is φ = 190080.

The previous prime is 527557. The next prime is 527563. The reversal of 527560 is 65725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (527557) and next prime (527563).

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 484 = 726^2 + 22^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (527563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4786 + ... + 4894.

2⁵²⁷⁵⁶⁰ 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 527560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658350).

527560 is an abundant number, since it is smaller than the sum of its proper divisors (789140).

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

527560 is a wasteful number, since it uses less digits than its factorization.

527560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 527560 is about 726.3332568456. Note that the first 3 decimals coincide. The cubic root of 527560 is about 80.8023428396.

It can be divided in two parts, 5275 and 60, that added together give a palindrome (5335).

The spelling of 527560 in words is "five hundred twenty-seven thousand, five hundred sixty".