29944000 has 112 divisors (see below), whose sum is σ = 78455520. Its totient is φ = 11289600.

The previous prime is 29943973. The next prime is 29944003. The reversal of 29944000 is 44992.

It is a self number, because there is not a number n which added to its sum of digits gives 29944000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29944003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151902 + ... + 152098.

Almost surely, 2^29944000 is an apocalyptic number.

29944000 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 29944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227760).

29944000 is an abundant number, since it is smaller than the sum of its proper divisors (48511520).

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

29944000 is a wasteful number, since it uses less digits than its factorization.

29944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 29944000 is about 5472.1111099831. Note that the first 4 decimals coincide. The cubic root of 29944000 is about 310.5297912592.

Adding to 29944000 its reverse (44992), we get a palindrome (29988992).

The spelling of 29944000 in words is "twenty-nine million, nine hundred forty-four thousand".