29869968 has 40 divisors (see below), whose sum is σ = 77861088. Its totient is φ = 9866752.

The previous prime is 29869967. The next prime is 29869991. The reversal of 29869968 is 86996892.

It is not an unprimeable number, because it can be changed into a prime (29869967) 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, 2671 + ... + 8177.

Almost surely, 2^29869968 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 29869968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38930544).

29869968 is an abundant number, since it is smaller than the sum of its proper divisors (47991120).

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

29869968 is a wasteful number, since it uses less digits than its factorization.

29869968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5625 counting only the distinct ones).

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

The square root of 29869968 is about 5465.3424412382. The cubic root of 29869968 is about 310.2736674582.

The spelling of 29869968 in words is "twenty-nine million, eight hundred sixty-nine thousand, nine hundred sixty-eight".