653328 has 60 divisors (see below), whose sum is σ = 1974700. Its totient is φ = 200448.

The previous prime is 653321. The next prime is 653339. The reversal of 653328 is 823356.

653328 is a `hidden beast` number, since 653 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 374544 = 528^2 + 612^2 .

It is not an unprimeable number, because it can be changed into a prime (653321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698 + ... + 2046.

2⁶⁵³³²⁸ 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 653328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987350).

653328 is an abundant number, since it is smaller than the sum of its proper divisors (1321372).

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

653328 is a wasteful number, since it uses less digits than its factorization.

653328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 653328 is about 808.2870777143. The cubic root of 653328 is about 86.7714970796.

It can be divided in two parts, 6533 and 28, that added together give a 8-th power (6561 = 3⁸).

The spelling of 653328 in words is "six hundred fifty-three thousand, three hundred twenty-eight".