129600468 has 18 divisors (see below), whose sum is σ = 327601274. Its totient is φ = 43200144.

The previous prime is 129600437. The next prime is 129600481. The reversal of 129600468 is 864006921.

129600468 is a `hidden beast` number, since 1 + 2 + 9 + 600 + 46 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84603204 + 44997264 = 9198^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3600013 = 129600468 / (1 + 2 + 9 + 6 + 0 + 0 + 4 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1799971 + ... + 1800042.

Almost surely, 2^129600468 is an apocalyptic number.

129600468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129600468 is an abundant number, since it is smaller than the sum of its proper divisors (198000806).

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

129600468 is a wasteful number, since it uses less digits than its factorization.

129600468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600023 (or 3600018 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129600468 is about 11384.2201313924. The cubic root of 129600468 is about 506.0602083261.

The spelling of 129600468 in words is "one hundred twenty-nine million, six hundred thousand, four hundred sixty-eight".