527120 has 40 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 191360.

The previous prime is 527099. The next prime is 527123. The reversal of 527120 is 21725.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (527123) by changing a digit.

527120 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 7 ways as a sum of consecutive naturals, for example, 581 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁵²⁷¹²⁰ 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 527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

527120 is an abundant number, since it is smaller than the sum of its proper divisors (812080).

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

527120 is a wasteful number, since it uses less digits than its factorization.

527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 527120 is about 726.0303023979. The cubic root of 527120 is about 80.7798727765.

Adding to 527120 its reverse (21725), we get a palindrome (548845).

The spelling of 527120 in words is "five hundred twenty-seven thousand, one hundred twenty".