527680 has 56 divisors (see below), whose sum is σ = 1344168. Its totient is φ = 196608.

The previous prime is 527671. The next prime is 527699. The reversal of 527680 is 86725.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 430336 = 312^2 + 656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5392 + ... + 5488.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2⁵²⁷⁶⁸⁰ 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 527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084).

527680 is an abundant number, since it is smaller than the sum of its proper divisors (816488).

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

527680 is a wasteful number, since it uses less digits than its factorization.

527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 527680 is about 726.4158588577. The cubic root of 527680 is about 80.8084688702.

It can be divided in two parts, 5276 and 80, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 527680 in words is "five hundred twenty-seven thousand, six hundred eighty".