29080968 has 128 divisors (see below), whose sum is σ = 88473600. Its totient is φ = 7789824.

The previous prime is 29080967. The next prime is 29080979. The reversal of 29080968 is 86908092.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29080967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228921 + ... + 229047.

It is an arithmetic number, because the mean of its divisors is an integer number (691200).

Almost surely, 2^29080968 is an apocalyptic number.

29080968 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 29080968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

29080968 is an abundant number, since it is smaller than the sum of its proper divisors (59392632).

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

29080968 is a wasteful number, since it uses less digits than its factorization.

29080968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

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

The square root of 29080968 is about 5392.6772571701. The cubic root of 29080968 is about 307.5173471607.

The spelling of 29080968 in words is "twenty-nine million, eighty thousand, nine hundred sixty-eight".