29120168 has 64 divisors (see below), whose sum is σ = 69793920. Its totient is φ = 11059200.

The previous prime is 29120137. The next prime is 29120171. The reversal of 29120168 is 86102192.

It is a self number, because there is not a number n which added to its sum of digits gives 29120168.

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 15 ways as a sum of consecutive naturals, for example, 24680 + ... + 25832.

It is an arithmetic number, because the mean of its divisors is an integer number (1090530).

Almost surely, 2^29120168 is an apocalyptic number.

29120168 is a gapful number since it is divisible by the number (28) 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 29120168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34896960).

29120168 is an abundant number, since it is smaller than the sum of its proper divisors (40673752).

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

29120168 is a wasteful number, since it uses less digits than its factorization.

29120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 29120168 is about 5396.3105915060. The cubic root of 29120168 is about 307.6554588821.

The spelling of 29120168 in words is "twenty-nine million, one hundred twenty thousand, one hundred sixty-eight".