527868 has 72 divisors (see below), whose sum is σ = 1537536. Its totient is φ = 151200.

The previous prime is 527851. The next prime is 527869. The reversal of 527868 is 868725.

527868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527869) by changing a digit.

527868 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 23 ways as a sum of consecutive naturals, for example, 12255 + ... + 12297.

2⁵²⁷⁸⁶⁸ 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 527868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768768).

527868 is an abundant number, since it is smaller than the sum of its proper divisors (1009668).

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

527868 is a wasteful number, since it uses less digits than its factorization.

527868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

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

The square root of 527868 is about 726.5452497952. The cubic root of 527868 is about 80.8180644510.

The spelling of 527868 in words is "five hundred twenty-seven thousand, eight hundred sixty-eight".