527220 has 72 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 134400.

The previous prime is 527209. The next prime is 527237. The reversal of 527220 is 22725.

527220 = T₁₇₆ + T₁₇₇ + ... + T₂₀₄.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 345744 = 426^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 527193 and 527202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5170 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁵²⁷²²⁰ 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 527220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835380).

527220 is an abundant number, since it is smaller than the sum of its proper divisors (1143540).

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

527220 is a wasteful number, since it uses less digits than its factorization.

527220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 527220 is about 726.0991667810. The cubic root of 527220 is about 80.7849807067.

Adding to 527220 its reverse (22725), we get a palindrome (549945).

It can be divided in two parts, 527 and 220, that added together give a palindrome (747).

The spelling of 527220 in words is "five hundred twenty-seven thousand, two hundred twenty".