129904320 has 224 divisors, whose sum is σ = 507967488. Its totient is φ = 27389952.

The previous prime is 129904289. The next prime is 129904339. The reversal of 129904320 is 23409921.

It is a tau number, because it is divible by the number of its divisors (224).

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, 86617 + ... + 88103.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^129904320 is an apocalyptic number.

129904320 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 129904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983744).

129904320 is an abundant number, since it is smaller than the sum of its proper divisors (378063168).

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

129904320 is a wasteful number, since it uses less digits than its factorization.

129904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 129904320 is about 11397.5576331072. The cubic root of 129904320 is about 506.4553905205.

The spelling of 129904320 in words is "one hundred twenty-nine million, nine hundred four thousand, three hundred twenty".