220920 has 64 divisors (see below), whose sum is σ = 760320. Its totient is φ = 50304.

The previous prime is 220919. The next prime is 220931. The reversal of 220920 is 29022.

220920 = T₂₃₁ + T₂₃₂ + ... + T₂₃₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220920.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²²⁰⁹²⁰ is an apocalyptic number.

220920 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 220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

220920 is an abundant number, since it is smaller than the sum of its proper divisors (539400).

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

220920 is a wasteful number, since it uses less digits than its factorization.

220920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 220920 is about 470.0212761142. The cubic root of 220920 is about 60.4521398235.

Adding to 220920 its reverse (29022), we get a palindrome (249942).

The spelling of 220920 in words is "two hundred twenty thousand, nine hundred twenty".