30129768 has 48 divisors (see below), whose sum is σ = 84240000. Its totient is φ = 9718560.

The previous prime is 30129761. The next prime is 30129787. The reversal of 30129768 is 86792103.

30129768 is a `hidden beast` number, since 301 + 297 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30129761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4518 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^30129768 is an apocalyptic number.

It is an amenable number.

30129768 is an abundant number, since it is smaller than the sum of its proper divisors (54110232).

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

30129768 is a wasteful number, since it uses less digits than its factorization.

30129768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30129768 is about 5489.0589357375. The cubic root of 30129768 is about 311.1706276536.

The spelling of 30129768 in words is "thirty million, one hundred twenty-nine thousand, seven hundred sixty-eight".