29920 has 48 divisors (see below), whose sum is σ = 81648. Its totient is φ = 10240.

The previous prime is 29917. The next prime is 29921. The reversal of 29920 is 2992.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 29891 and 29900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29921) by changing a digit.

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, 1752 + ... + 1768.

It is an arithmetic number, because the mean of its divisors is an integer number (1701).

2²⁹⁹²⁰ is an apocalyptic number.

29920 is a gapful number since it is divisible by the number (20) 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 29920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824).

29920 is an abundant number, since it is smaller than the sum of its proper divisors (51728).

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

29920 is a wasteful number, since it uses less digits than its factorization.

29920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 29920 is about 172.9739864835. The cubic root of 29920 is about 31.0446806276.

It can be divided in two parts, 29 and 920, that added together give a palindrome (949).

The spelling of 29920 in words is "twenty-nine thousand, nine hundred twenty".