29994664 has 64 divisors (see below), whose sum is σ = 69552000. Its totient is φ = 12079872.

The previous prime is 29994637. The next prime is 29994667. The reversal of 29994664 is 46649992.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (29994667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46327 + ... + 46969.

It is an arithmetic number, because the mean of its divisors is an integer number (1086750).

Almost surely, 2^29994664 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 29994664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776000).

29994664 is an abundant number, since it is smaller than the sum of its proper divisors (39557336).

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

29994664 is a wasteful number, since it uses less digits than its factorization.

29994664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 669 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 29994664 is about 5476.7384454619. The cubic root of 29994664 is about 310.7048270668.

The spelling of 29994664 in words is "twenty-nine million, nine hundred ninety-four thousand, six hundred sixty-four".