527648 has 24 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 239680.

The previous prime is 527633. The next prime is 527671. The reversal of 527648 is 846725.

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

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁹ + 6³ + 7 + 4 + 8 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527648.

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, 398 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁵²⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

527648 is an abundant number, since it is smaller than the sum of its proper divisors (606352).

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

527648 is a wasteful number, since it uses less digits than its factorization.

527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 527648 is about 726.3938325729. The cubic root of 527648 is about 80.8068353529.

The spelling of 527648 in words is "five hundred twenty-seven thousand, six hundred forty-eight".