129984960 has 336 divisors, whose sum is σ = 509723136. Its totient is φ = 27439104.

The previous prime is 129984949. The next prime is 129984971. The reversal of 129984960 is 69489921.

It is an interprime number because it is at equal distance from previous prime (129984949) and next prime (129984971).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4482226 + ... + 4482254.

Almost surely, 2^129984960 is an apocalyptic number.

129984960 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 129984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254861568).

129984960 is an abundant number, since it is smaller than the sum of its proper divisors (379738176).

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

129984960 is a wasteful number, since it uses less digits than its factorization.

129984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 129984960 is about 11401.0946842836. The cubic root of 129984960 is about 506.5601653651.

The spelling of 129984960 in words is "one hundred twenty-nine million, nine hundred eighty-four thousand, nine hundred sixty".