29968176 has 80 divisors (see below), whose sum is σ = 89676800. Its totient is φ = 8446464.

The previous prime is 29968163. The next prime is 29968181. The reversal of 29968176 is 67186992.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 25980 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (1120960).

Almost surely, 2^29968176 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 29968176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44838400).

29968176 is an abundant number, since it is smaller than the sum of its proper divisors (59708624).

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

29968176 is a wasteful number, since it uses less digits than its factorization.

29968176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 29968176 is about 5474.3196837598. The cubic root of 29968176 is about 310.6133399804.

The spelling of 29968176 in words is "twenty-nine million, nine hundred sixty-eight thousand, one hundred seventy-six".