29868 has 24 divisors (see below), whose sum is σ = 73920. Its totient is φ = 9360.

The previous prime is 29867. The next prime is 29873. The reversal of 29868 is 86892.

29868 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (29863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2²⁹⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

29868 is an abundant number, since it is smaller than the sum of its proper divisors (44052).

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

29868 is a wasteful number, since it uses less digits than its factorization.

29868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 29868 is about 172.8236094982. The cubic root of 29868 is about 31.0266853122.

It can be divided in two parts, 2 and 9868, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 29868 in words is "twenty-nine thousand, eight hundred sixty-eight".