29998416 has 160 divisors (see below), whose sum is σ = 96501760. Its totient is φ = 7838208.

The previous prime is 29998411. The next prime is 29998439. The reversal of 29998416 is 61489992.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29998411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236145 + ... + 236271.

It is an arithmetic number, because the mean of its divisors is an integer number (603136).

Almost surely, 2^29998416 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 29998416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48250880).

29998416 is an abundant number, since it is smaller than the sum of its proper divisors (66503344).

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

29998416 is a wasteful number, since it uses less digits than its factorization.

29998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 29998416 is about 5477.0809743877. The cubic root of 29998416 is about 310.7177817699.

The spelling of 29998416 in words is "twenty-nine million, nine hundred ninety-eight thousand, four hundred sixteen".