129693984 has 144 divisors (see below), whose sum is σ = 402192000. Its totient is φ = 36481536.

The previous prime is 129693983. The next prime is 129693989. The reversal of 129693984 is 489396921.

It is not an unprimeable number, because it can be changed into a prime (129693983) 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, 371442 + ... + 371790.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^129693984 is an apocalyptic number.

129693984 is a gapful number since it is divisible by the number (14) 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 129693984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

129693984 is an abundant number, since it is smaller than the sum of its proper divisors (272498016).

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

129693984 is a wasteful number, since it uses less digits than its factorization.

129693984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 129693984 is about 11388.3266549568. The cubic root of 129693984 is about 506.1818985973.

The spelling of 129693984 in words is "one hundred twenty-nine million, six hundred ninety-three thousand, nine hundred eighty-four".