527936 has 28 divisors (see below), whose sum is σ = 1071372. Its totient is φ = 258048.

The previous prime is 527929. The next prime is 527941. The reversal of 527936 is 639725.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 409600 = 344^2 + 640^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 4616 + ... + 4728.

2⁵²⁷⁹³⁶ 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 527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535686).

527936 is an abundant number, since it is smaller than the sum of its proper divisors (543436).

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

527936 is a wasteful number, since it uses less digits than its factorization.

527936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 527936 is about 726.5920450982. The cubic root of 527936 is about 80.8215346320.

The spelling of 527936 in words is "five hundred twenty-seven thousand, nine hundred thirty-six".