29812664 has 48 divisors (see below), whose sum is σ = 65543280. Its totient is φ = 12453120.

The previous prime is 29812663. The next prime is 29812681. The reversal of 29812664 is 46621892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29812663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123584 + ... + 123824.

It is an arithmetic number, because the mean of its divisors is an integer number (1365485).

Almost surely, 2^29812664 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 29812664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32771640).

29812664 is an abundant number, since it is smaller than the sum of its proper divisors (35730616).

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

29812664 is a wasteful number, since it uses less digits than its factorization.

29812664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 297 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 29812664 is about 5460.0974350281. The cubic root of 29812664 is about 310.0751257398.

The spelling of 29812664 in words is "twenty-nine million, eight hundred twelve thousand, six hundred sixty-four".