129600768 has 216 divisors, whose sum is σ = 406919520. Its totient is φ = 36270080.

The previous prime is 129600763. The next prime is 129600781. The reversal of 129600768 is 867006921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129600763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4468978 + ... + 4469006.

Almost surely, 2^129600768 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 129600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203459760).

129600768 is an abundant number, since it is smaller than the sum of its proper divisors (277318752).

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

129600768 is a wasteful number, since it uses less digits than its factorization.

129600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 129600768 is about 11384.2333075179. The cubic root of 129600768 is about 506.0605988030.

The spelling of 129600768 in words is "one hundred twenty-nine million, six hundred thousand, seven hundred sixty-eight".