527820 has 48 divisors (see below), whose sum is σ = 1559040. Its totient is φ = 133056.

The previous prime is 527819. The next prime is 527843. The reversal of 527820 is 28725.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁸ + 8² + 7³ + 2¹⁸ + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (32480).

2⁵²⁷⁸²⁰ 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 527820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779520).

527820 is an abundant number, since it is smaller than the sum of its proper divisors (1031220).

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

527820 is a wasteful number, since it uses less digits than its factorization.

527820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 527820 is about 726.5122160019. The cubic root of 527820 is about 80.8156147321.

The spelling of 527820 in words is "five hundred twenty-seven thousand, eight hundred twenty".