653128320 has 256 divisors, whose sum is σ = 2270177280. Its totient is φ = 158760960.

The previous prime is 653128297. The next prime is 653128331. The reversal of 653128320 is 23821356.

653128320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3419425 + ... + 3419615.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2^653128320 is an apocalyptic number.

653128320 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 653128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135088640).

653128320 is an abundant number, since it is smaller than the sum of its proper divisors (1617048960).

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

653128320 is a wasteful number, since it uses less digits than its factorization.

653128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 653128320 is about 25556.3753298468. The cubic root of 653128320 is about 867.6265603899.

Adding to 653128320 its reverse (23821356), we get a palindrome (676949676).

The spelling of 653128320 in words is "six hundred fifty-three million, one hundred twenty-eight thousand, three hundred twenty".