29920968 has 192 divisors, whose sum is σ = 105883200. Its totient is φ = 7741440.

The previous prime is 29920949. The next prime is 29920973. The reversal of 29920968 is 86902992.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116296 + ... + 116552.

It is an arithmetic number, because the mean of its divisors is an integer number (551475).

Almost surely, 2^29920968 is an apocalyptic number.

29920968 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 29920968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52941600).

29920968 is an abundant number, since it is smaller than the sum of its proper divisors (75962232).

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

29920968 is a wasteful number, since it uses less digits than its factorization.

29920968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29920968 is about 5470.0062157186. The cubic root of 29920968 is about 310.4501541960.

The spelling of 29920968 in words is "twenty-nine million, nine hundred twenty thousand, nine hundred sixty-eight".