29845968 has 40 divisors (see below), whose sum is σ = 77355168. Its totient is φ = 9916032.

The previous prime is 29845967. The next prime is 29845969. The reversal of 29845968 is 86954892.

It is an interprime number because it is at equal distance from previous prime (29845967) and next prime (29845969).

It is a self number, because there is not a number n which added to its sum of digits gives 29845968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29845967) 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 7 ways as a sum of consecutive naturals, for example, 17071 + ... + 18737.

Almost surely, 2^29845968 is an apocalyptic number.

It is an amenable number.

29845968 is an abundant number, since it is smaller than the sum of its proper divisors (47509200).

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

29845968 is a wasteful number, since it uses less digits than its factorization.

29845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2045 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 29845968 is about 5463.1463462001. The cubic root of 29845968 is about 310.1905453593.

The spelling of 29845968 in words is "twenty-nine million, eight hundred forty-five thousand, nine hundred sixty-eight".