29968704 has 168 divisors, whose sum is σ = 93195648. Its totient is φ = 9538560.

The previous prime is 29968669. The next prime is 29968709. The reversal of 29968704 is 40786992.

It is a happy number.

It is a super-3 number, since 3×29968704³ (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29968704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29968709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637609 + ... + 637655.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 2^29968704 is an apocalyptic number.

29968704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

29968704 is an abundant number, since it is smaller than the sum of its proper divisors (63226944).

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

29968704 is an equidigital number, since it uses as much as digits as its factorization.

29968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29968704 is about 5474.3679087179. The cubic root of 29968704 is about 310.6151641697.

The spelling of 29968704 in words is "twenty-nine million, nine hundred sixty-eight thousand, seven hundred four".