29707968 has 56 divisors (see below), whose sum is σ = 79004160. Its totient is φ = 9852160.

The previous prime is 29707961. The next prime is 29707991. The reversal of 29707968 is 86970792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29707961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68713 + ... + 69143.

Almost surely, 2^29707968 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 29707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39502080).

29707968 is an abundant number, since it is smaller than the sum of its proper divisors (49296192).

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

29707968 is a wasteful number, since it uses less digits than its factorization.

29707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 29707968 is about 5450.5016282907. The cubic root of 29707968 is about 309.7117264635.

The spelling of 29707968 in words is "twenty-nine million, seven hundred seven thousand, nine hundred sixty-eight".