527160 has 64 divisors (see below), whose sum is σ = 1658880. Its totient is φ = 133760.

The previous prime is 527159. The next prime is 527161. The reversal of 527160 is 61725.

527160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (527159) and next prime (527161).

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527160.

It is not an unprimeable number, because it can be changed into a prime (527161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁵²⁷¹⁶⁰ 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 527160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440).

527160 is an abundant number, since it is smaller than the sum of its proper divisors (1131720).

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

527160 is a wasteful number, since it uses less digits than its factorization.

527160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 527160 is about 726.0578489349. The cubic root of 527160 is about 80.7819160261.

Adding to 527160 its reverse (61725), we get a palindrome (588885).

The spelling of 527160 in words is "five hundred twenty-seven thousand, one hundred sixty".