653220 has 72 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 164160.

The previous prime is 653209. The next prime is 653243. The reversal of 653220 is 22356.

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

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 653193 and 653202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653220.

It is an unprimeable number.

653220 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 23 ways as a sum of consecutive naturals, for example, 3325 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2⁶⁵³²²⁰ is an apocalyptic number.

653220 is a gapful number since it is divisible by the number (60) 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 653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

653220 is an abundant number, since it is smaller than the sum of its proper divisors (1443420).

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

653220 is a wasteful number, since it uses less digits than its factorization.

653220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 653220 is about 808.2202670065. The cubic root of 653220 is about 86.7667154905.

Adding to 653220 its reverse (22356), we get a palindrome (675576).

The spelling of 653220 in words is "six hundred fifty-three thousand, two hundred twenty".