29917944 has 128 divisors (see below), whose sum is σ = 97228800. Its totient is φ = 8346240.

The previous prime is 29917933. The next prime is 29917961. The reversal of 29917944 is 44971992.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29917944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70854 + ... + 71274.

It is an arithmetic number, because the mean of its divisors is an integer number (759600).

Almost surely, 2^29917944 is an apocalyptic number.

29917944 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 29917944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48614400).

29917944 is an abundant number, since it is smaller than the sum of its proper divisors (67310856).

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

29917944 is a wasteful number, since it uses less digits than its factorization.

29917944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 29917944 is about 5469.7297922292. The cubic root of 29917944 is about 310.4396951661.

The spelling of 29917944 in words is "twenty-nine million, nine hundred seventeen thousand, nine hundred forty-four".