220520 has 32 divisors (see below), whose sum is σ = 513000. Its totient is φ = 85248.

The previous prime is 220513. The next prime is 220529. The reversal of 220520 is 25022.

It can be written as a sum of positive squares in 4 ways, for example, as 178084 + 42436 = 422^2 + 206^2 .

It is not an unprimeable number, because it can be changed into a prime (220529) by changing a digit.

220520 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 7 ways as a sum of consecutive naturals, for example, 1406 + ... + 1554.

2²²⁰⁵²⁰ is an apocalyptic number.

220520 is a gapful number since it is divisible by the number (20) 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 220520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256500).

220520 is an abundant number, since it is smaller than the sum of its proper divisors (292480).

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

220520 is a wasteful number, since it uses less digits than its factorization.

220520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 220520 is about 469.5955706776. The cubic root of 220520 is about 60.4156326947.

Adding to 220520 its reverse (25022), we get a palindrome (245542).

It can be divided in two parts, 2205 and 20, that multiplied together give a square (44100 = 210²).

The spelling of 220520 in words is "two hundred twenty thousand, five hundred twenty".