29689968 has 160 divisors (see below), whose sum is σ = 99279360. Its totient is φ = 7418880.

The previous prime is 29689967. The next prime is 29689969. The reversal of 29689968 is 86998692.

It is an interprime number because it is at equal distance from previous prime (29689967) and next prime (29689969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29689967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107046 + ... + 107322.

It is an arithmetic number, because the mean of its divisors is an integer number (620496).

Almost surely, 2^29689968 is an apocalyptic number.

29689968 is a gapful number since it is divisible by the number (28) 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 29689968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49639680).

29689968 is an abundant number, since it is smaller than the sum of its proper divisors (69589392).

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

29689968 is a wasteful number, since it uses less digits than its factorization.

29689968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The square root of 29689968 is about 5448.8501539316. The cubic root of 29689968 is about 309.6491625819.

The spelling of 29689968 in words is "twenty-nine million, six hundred eighty-nine thousand, nine hundred sixty-eight".