29419120 has 20 divisors (see below), whose sum is σ = 68399640. Its totient is φ = 11767616.

The previous prime is 29419067. The next prime is 29419121. The reversal of 29419120 is 2191492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29419121) 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 3 ways as a sum of consecutive naturals, for example, 183790 + ... + 183949.

It is an arithmetic number, because the mean of its divisors is an integer number (3419982).

Almost surely, 2^29419120 is an apocalyptic number.

29419120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29419120 is an abundant number, since it is smaller than the sum of its proper divisors (38980520).

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

29419120 is a wasteful number, since it uses less digits than its factorization.

29419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367752 (or 367746 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 29419120 is about 5423.9395276865. The cubic root of 29419120 is about 308.7046888327.

The spelling of 29419120 in words is "twenty-nine million, four hundred nineteen thousand, one hundred twenty".