129576960 has 312 divisors, whose sum is σ = 485562480. Its totient is φ = 31850496.

The previous prime is 129576949. The next prime is 129576961. The reversal of 129576960 is 69675921.

It is a happy number.

129576960 is a `hidden beast` number, since 12 + 9 + 576 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129576961) 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, 3502062 + ... + 3502098.

It is an arithmetic number, because the mean of its divisors is an integer number (1556290).

Almost surely, 2^129576960 is an apocalyptic number.

129576960 is a gapful number since it is divisible by the number (10) 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 129576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242781240).

129576960 is an abundant number, since it is smaller than the sum of its proper divisors (355985520).

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

129576960 is a wasteful number, since it uses less digits than its factorization.

129576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 129576960 is about 11383.1876027763. The cubic root of 129576960 is about 506.0296086868.

The spelling of 129576960 in words is "one hundred twenty-nine million, five hundred seventy-six thousand, nine hundred sixty".