29966208 has 64 divisors (see below), whose sum is σ = 80763600. Its totient is φ = 9842688.

The previous prime is 29966207. The next prime is 29966231. The reversal of 29966208 is 80266992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 29966208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27498 + ... + 28566.

Almost surely, 2^29966208 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 29966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40381800).

29966208 is an abundant number, since it is smaller than the sum of its proper divisors (50797392).

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

29966208 is a wasteful number, since it uses less digits than its factorization.

29966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 29966208 is about 5474.1399324460. The cubic root of 29966208 is about 310.6065405405.

The spelling of 29966208 in words is "twenty-nine million, nine hundred sixty-six thousand, two hundred eight".