29968080 has 160 divisors (see below), whose sum is σ = 99636480. Its totient is φ = 7434240.

The previous prime is 29968079. The next prime is 29968087. The reversal of 29968080 is 8086992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29968087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 336676 + ... + 336764.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^29968080 is an apocalyptic number.

29968080 is a gapful number since it is divisible by the number (20) 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 29968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49818240).

29968080 is an abundant number, since it is smaller than the sum of its proper divisors (69668400).

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

29968080 is a wasteful number, since it uses less digits than its factorization.

29968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 29968080 is about 5474.3109155400. The cubic root of 29968080 is about 310.6130083073.

The spelling of 29968080 in words is "twenty-nine million, nine hundred sixty-eight thousand, eighty".