29940 has 24 divisors (see below), whose sum is σ = 84000. Its totient is φ = 7968.

The previous prime is 29927. The next prime is 29947. The reversal of 29940 is 4992.

It is a self number, because there is not a number n which added to its sum of digits gives 29940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29947) by changing a digit.

29940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3500).

2²⁹⁹⁴⁰ is an apocalyptic number.

29940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29940 is an abundant number, since it is smaller than the sum of its proper divisors (54060).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000).

29940 is a wasteful number, since it uses less digits than its factorization.

29940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

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

The square root of 29940 is about 173.0317889869. The cubic root of 29940 is about 31.0515963509.

Subtracting from 29940 its product of nonzero digits (648), we obtain a palindrome (29292).

It can be divided in two parts, 29 and 940, that added together give a palindrome (969).

The spelling of 29940 in words is "twenty-nine thousand, nine hundred forty".