29971668 has 72 divisors (see below), whose sum is σ = 76071744. Its totient is φ = 9166080.

The previous prime is 29971651. The next prime is 29971687. The reversal of 29971668 is 86617992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265180 + ... + 265292.

It is an arithmetic number, because the mean of its divisors is an integer number (1056552).

Almost surely, 2^29971668 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 29971668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035872).

29971668 is an abundant number, since it is smaller than the sum of its proper divisors (46100076).

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

29971668 is a wasteful number, since it uses less digits than its factorization.

29971668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 29971668 is about 5474.6386182103. The cubic root of 29971668 is about 310.6254041076.

The spelling of 29971668 in words is "twenty-nine million, nine hundred seventy-one thousand, six hundred sixty-eight".