29419104 has 96 divisors (see below), whose sum is σ = 90768384. Its totient is φ = 8225280.

The previous prime is 29419067. The next prime is 29419121. The reversal of 29419104 is 40191492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12657 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (945504).

Almost surely, 2^29419104 is an apocalyptic number.

29419104 is a gapful number since it is divisible by the number (24) 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 29419104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384192).

29419104 is an abundant number, since it is smaller than the sum of its proper divisors (61349280).

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

29419104 is a wasteful number, since it uses less digits than its factorization.

29419104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29419104 is about 5423.9380527436. The cubic root of 29419104 is about 308.7046328682.

The spelling of 29419104 in words is "twenty-nine million, four hundred nineteen thousand, one hundred four".