129588768 has 96 divisors (see below), whose sum is σ = 381265920. Its totient is φ = 42819840.

The previous prime is 129588761. The next prime is 129588793. The reversal of 129588768 is 867885921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (129588761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109138 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (3971520).

Almost surely, 2^129588768 is an apocalyptic number.

129588768 is a gapful number since it is divisible by the number (18) 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 129588768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190632960).

129588768 is an abundant number, since it is smaller than the sum of its proper divisors (251677152).

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

129588768 is a wasteful number, since it uses less digits than its factorization.

129588768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 129588768 is about 11383.7062506022. The cubic root of 129588768 is about 506.0449792592.

The spelling of 129588768 in words is "one hundred twenty-nine million, five hundred eighty-eight thousand, seven hundred sixty-eight".