29365968 has 20 divisors (see below), whose sum is σ = 75862208. Its totient is φ = 9788640.

The previous prime is 29365961. The next prime is 29365969. The reversal of 29365968 is 86956392.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 611791 = 29365968 / (2 + 9 + 3 + 6 + 5 + 9 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29365961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305848 + ... + 305943.

Almost surely, 2^29365968 is an apocalyptic number.

It is an amenable number.

29365968 is an abundant number, since it is smaller than the sum of its proper divisors (46496240).

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

29365968 is a wasteful number, since it uses less digits than its factorization.

29365968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611802 (or 611796 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 29365968 is about 5419.0375529240. The cubic root of 29365968 is about 308.5186628373.

The spelling of 29365968 in words is "twenty-nine million, three hundred sixty-five thousand, nine hundred sixty-eight".