29904 has 40 divisors (see below), whose sum is σ = 89280. Its totient is φ = 8448.

The previous prime is 29881. The next prime is 29917. The reversal of 29904 is 40992.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 292 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2²⁹⁹⁰⁴ is an apocalyptic number.

29904 is a gapful number since it is divisible by the number (24) 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 29904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

29904 is an abundant number, since it is smaller than the sum of its proper divisors (59376).

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

29904 is a wasteful number, since it uses less digits than its factorization.

29904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 29904 is about 172.9277305697. The cubic root of 29904 is about 31.0391458298.

The spelling of 29904 in words is "twenty-nine thousand, nine hundred four".