29971968 has 160 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 8626176.

The previous prime is 29971957. The next prime is 29971973. The reversal of 29971968 is 86917992.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29971968.

It is a congruent number.

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, 379353 + ... + 379431.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 2^29971968 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 29971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

29971968 is an abundant number, since it is smaller than the sum of its proper divisors (61688832).

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

29971968 is a wasteful number, since it uses less digits than its factorization.

29971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 29971968 is about 5474.6660172105. Note that the first 3 decimals coincide. The cubic root of 29971968 is about 310.6264405009.

The spelling of 29971968 in words is "twenty-nine million, nine hundred seventy-one thousand, nine hundred sixty-eight".