653129568 has 432 divisors, whose sum is σ = 2417216256. Its totient is φ = 169827840.

The previous prime is 653129557. The next prime is 653129569. The reversal of 653129568 is 865921356.

653129568 is a `hidden beast` number, since 65 + 3 + 1 + 29 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (388800) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653129569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198973 + ... + 9199043.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2^653129568 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 653129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208608128).

653129568 is an abundant number, since it is smaller than the sum of its proper divisors (1764086688).

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

653129568 is a wasteful number, since it uses less digits than its factorization.

653129568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 653129568 is about 25556.3997464432. The cubic root of 653129568 is about 867.6271130109.

The spelling of 653129568 in words is "six hundred fifty-three million, one hundred twenty-nine thousand, five hundred sixty-eight".