29680968 has 32 divisors (see below), whose sum is σ = 74419200. Its totient is φ = 9864768.

The previous prime is 29680957. The next prime is 29680969. The reversal of 29680968 is 86908692.

It is a super-2 number, since 2×29680968² = 1761919722834048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29680969) 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, 7578 + ... + 10806.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 2^29680968 is an apocalyptic number.

It is an amenable number.

29680968 is an abundant number, since it is smaller than the sum of its proper divisors (44738232).

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

29680968 is a wasteful number, since it uses less digits than its factorization.

29680968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 29680968 is about 5448.0242290210. The cubic root of 29680968 is about 309.6178711582.

The spelling of 29680968 in words is "twenty-nine million, six hundred eighty thousand, nine hundred sixty-eight".