29991168 has 72 divisors (see below), whose sum is σ = 88709600. Its totient is φ = 9994752.

The previous prime is 29991161. The next prime is 29991173. The reversal of 29991168 is 86119992.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29991161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4743 + ... + 9081.

Almost surely, 2^29991168 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 29991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44354800).

29991168 is an abundant number, since it is smaller than the sum of its proper divisors (58718432).

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

29991168 is an equidigital number, since it uses as much as digits as its factorization.

29991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4344 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 29991168 is about 5476.4192680985. The cubic root of 29991168 is about 310.6927552943.

The spelling of 29991168 in words is "twenty-nine million, nine hundred ninety-one thousand, one hundred sixty-eight".