527632 has 30 divisors (see below), whose sum is σ = 1190958. Its totient is φ = 225792.

The previous prime is 527627. The next prime is 527633. The reversal of 527632 is 236725.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 112896 = 644^2 + 336^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 527597 and 527606.

It is not an unprimeable number, because it can be changed into a prime (527633) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 448 + ... + 1120.

2⁵²⁷⁶³² 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 527632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595479).

527632 is an abundant number, since it is smaller than the sum of its proper divisors (663326).

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

527632 is a wasteful number, since it uses less digits than its factorization.

527632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 527632 is about 726.3828191801. The cubic root of 527632 is about 80.8060185694.

The spelling of 527632 in words is "five hundred twenty-seven thousand, six hundred thirty-two".