29808 has 50 divisors (see below), whose sum is σ = 90024. Its totient is φ = 9504.

The previous prime is 29803. The next prime is 29819. The reversal of 29808 is 80892.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29803) by changing a digit.

29808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1285 + ... + 1307.

2²⁹⁸⁰⁸ 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 29808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012).

29808 is an abundant number, since it is smaller than the sum of its proper divisors (60216).

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

29808 is a wasteful number, since it uses less digits than its factorization.

29808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29808 is about 172.6499348393. The cubic root of 29808 is about 31.0058955142.

It can be divided in two parts, 29 and 808, that multiplied together give a palindrome (23432).

The spelling of 29808 in words is "twenty-nine thousand, eight hundred eight".