29744968 has 64 divisors (see below), whose sum is σ = 65707200. Its totient is φ = 12472320.

The previous prime is 29744941. The next prime is 29744971. The reversal of 29744968 is 86944792.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88096 + ... + 88432.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 2^29744968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29744968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32853600).

29744968 is an abundant number, since it is smaller than the sum of its proper divisors (35962232).

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

29744968 is a wasteful number, since it uses less digits than its factorization.

29744968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 29744968 is about 5453.8947551268. The cubic root of 29744968 is about 309.8402506785.

The spelling of 29744968 in words is "twenty-nine million, seven hundred forty-four thousand, nine hundred sixty-eight".