653128 has 32 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 274752.

The previous prime is 653117. The next prime is 653143. The reversal of 653128 is 821356.

It is a happy number.

It is an unprimeable number.

653128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5938 + ... + 6046.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁶⁵³¹²⁸ 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 653128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800).

653128 is an abundant number, since it is smaller than the sum of its proper divisors (772472).

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

653128 is a wasteful number, since it uses less digits than its factorization.

653128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 653128 is about 808.1633498248. The cubic root of 653128 is about 86.7626418692.

The spelling of 653128 in words is "six hundred fifty-three thousand, one hundred twenty-eight".