527688 has 64 divisors (see below), whose sum is σ = 1680000. Its totient is φ = 150336.

The previous prime is 527671. The next prime is 527699. The reversal of 527688 is 886725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527688.

It is an unprimeable number.

527688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (26250).

2⁵²⁷⁶⁸⁸ 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 527688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840000).

527688 is an abundant number, since it is smaller than the sum of its proper divisors (1152312).

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

527688 is a wasteful number, since it uses less digits than its factorization.

527688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 527688 is about 726.4213653246. The cubic root of 527688 is about 80.8088772392.

The spelling of 527688 in words is "five hundred twenty-seven thousand, six hundred eighty-eight".