527580 has 48 divisors (see below), whose sum is σ = 1643040. Its totient is φ = 140544.

The previous prime is 527563. The next prime is 527581. The reversal of 527580 is 85725.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (34230).

2⁵²⁷⁵⁸⁰ 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 527580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821520).

527580 is an abundant number, since it is smaller than the sum of its proper divisors (1115460).

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

527580 is a wasteful number, since it uses less digits than its factorization.

527580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 527580 is about 726.3470245000. The cubic root of 527580 is about 80.8033639092.

The spelling of 527580 in words is "five hundred twenty-seven thousand, five hundred eighty".