129696 has 48 divisors (see below), whose sum is σ = 391104. Its totient is φ = 36864.

The previous prime is 129671. The next prime is 129707. The reversal of 129696 is 696921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

129696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 768.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2¹²⁹⁶⁹⁶ is an apocalyptic number.

129696 is a gapful number since it is divisible by the number (16) 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 129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195552).

129696 is an abundant number, since it is smaller than the sum of its proper divisors (261408).

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

129696 is a wasteful number, since it uses less digits than its factorization.

129696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 129696 is about 360.1333086511. The cubic root of 129696 is about 50.6184521329.

The spelling of 129696 in words is "one hundred twenty-nine thousand, six hundred ninety-six".