29805930 has 288 divisors, whose sum is σ = 107557632. Its totient is φ = 5575680.

The previous prime is 29805917. The next prime is 29805931. The reversal of 29805930 is 3950892.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29805931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1295899 + ... + 1295921.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^29805930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29805930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

29805930 is an abundant number, since it is smaller than the sum of its proper divisors (77751702).

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

29805930 is a wasteful number, since it uses less digits than its factorization.

29805930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29805930 is about 5459.4807445397. The cubic root of 29805930 is about 310.0517776850.

The spelling of 29805930 in words is "twenty-nine million, eight hundred five thousand, nine hundred thirty".