653120 has 56 divisors (see below), whose sum is σ = 1685544. Its totient is φ = 239616.

The previous prime is 653117. The next prime is 653143. The reversal of 653120 is 21356.

653120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 652864 = 16^2 + 808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4082 + ... + 4238.

It is an arithmetic number, because the mean of its divisors is an integer number (30099).

2⁶⁵³¹²⁰ 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 653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842772).

653120 is an abundant number, since it is smaller than the sum of its proper divisors (1032424).

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

653120 is a wasteful number, since it uses less digits than its factorization.

653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 653120 is about 808.1584003152. The cubic root of 653120 is about 86.7622876232.

Adding to 653120 its reverse (21356), we get a palindrome (674476).

The spelling of 653120 in words is "six hundred fifty-three thousand, one hundred twenty".