29969688 has 128 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 7879680.

The previous prime is 29969671. The next prime is 29969701. The reversal of 29969688 is 88696992.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130758 + ... + 130986.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 2^29969688 is an apocalyptic number.

29969688 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 29969688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368000).

29969688 is an abundant number, since it is smaller than the sum of its proper divisors (62766312).

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

29969688 is a wasteful number, since it uses less digits than its factorization.

29969688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

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

The square root of 29969688 is about 5474.4577813698. The cubic root of 29969688 is about 310.6185637381.

The spelling of 29969688 in words is "twenty-nine million, nine hundred sixty-nine thousand, six hundred eighty-eight".