527280 has 80 divisors (see below), whose sum is σ = 1770720. Its totient is φ = 129792.

The previous prime is 527273. The next prime is 527281. The reversal of 527280 is 82725.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 527280.

It is not an unprimeable number, because it can be changed into a prime (527281) 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, 40554 + ... + 40566.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2⁵²⁷²⁸⁰ 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 527280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885360).

527280 is an abundant number, since it is smaller than the sum of its proper divisors (1243440).

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

527280 is a wasteful number, since it uses less digits than its factorization.

527280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

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

The square root of 527280 is about 726.1404822760. The cubic root of 527280 is about 80.7880451548.

The spelling of 527280 in words is "five hundred twenty-seven thousand, two hundred eighty".