129667968 has 48 divisors (see below), whose sum is σ = 373136400. Its totient is φ = 43222272.

The previous prime is 129667949. The next prime is 129667973. The reversal of 129667968 is 869766921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55128 + ... + 57431.

It is an arithmetic number, because the mean of its divisors is an integer number (7773675).

Almost surely, 2^129667968 is an apocalyptic number.

129667968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129667968 is an abundant number, since it is smaller than the sum of its proper divisors (243468432).

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

129667968 is a wasteful number, since it uses less digits than its factorization.

129667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112579 (or 112564 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 129667968 is about 11387.1843754284. The cubic root of 129667968 is about 506.1480504354.

The spelling of 129667968 in words is "one hundred twenty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".