527904 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 158976.

The previous prime is 527897. The next prime is 527909. The reversal of 527904 is 409725.

527904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (527909) by changing a digit.

527904 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 11209 + ... + 11255.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵²⁷⁹⁰⁴ is an apocalyptic number.

527904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

527904 is an abundant number, since it is smaller than the sum of its proper divisors (1165536).

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

527904 is a wasteful number, since it uses less digits than its factorization.

527904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 527904 is about 726.5700241546. The cubic root of 527904 is about 80.8199016428.

It can be divided in two parts, 527 and 904, that added together give a triangular number (1431 = T₅₃).

The spelling of 527904 in words is "five hundred twenty-seven thousand, nine hundred four".