29914008 has 48 divisors (see below), whose sum is σ = 77334840. Its totient is φ = 9642240.

The previous prime is 29913997. The next prime is 29914009. The reversal of 29914008 is 80041992.

It is a self number, because there is not a number n which added to its sum of digits gives 29914008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29914009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22416 + ... + 23712.

Almost surely, 2^29914008 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 29914008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38667420).

29914008 is an abundant number, since it is smaller than the sum of its proper divisors (47420832).

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

29914008 is a wasteful number, since it uses less digits than its factorization.

29914008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 29914008 is about 5469.3699819998. The cubic root of 29914008 is about 310.4260807699.

The spelling of 29914008 in words is "twenty-nine million, nine hundred fourteen thousand, eight".