129396960 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 26818560.

The previous prime is 129396947. The next prime is 129396977. The reversal of 129396960 is 69693921.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332446 + ... + 332834.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^129396960 is an apocalyptic number.

129396960 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 129396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

129396960 is an abundant number, since it is smaller than the sum of its proper divisors (436695840).

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

129396960 is a wasteful number, since it uses less digits than its factorization.

129396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 129396960 is about 11375.2784581302. The cubic root of 129396960 is about 505.7951854818.

The spelling of 129396960 in words is "one hundred twenty-nine million, three hundred ninety-six thousand, nine hundred sixty".