29839980 has 96 divisors (see below), whose sum is σ = 87994368. Its totient is φ = 7545600.

The previous prime is 29839973. The next prime is 29839987. The reversal of 29839980 is 8993892.

It is an interprime number because it is at equal distance from previous prime (29839973) and next prime (29839987).

It is not an unprimeable number, because it can be changed into a prime (29839987) 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, 113329 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 2^29839980 is an apocalyptic number.

29839980 is a gapful number since it is divisible by the number (20) 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 29839980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184).

29839980 is an abundant number, since it is smaller than the sum of its proper divisors (58154388).

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

29839980 is a wasteful number, since it uses less digits than its factorization.

29839980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

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

The square root of 29839980 is about 5462.5982828687. The cubic root of 29839980 is about 310.1697994502.

The spelling of 29839980 in words is "twenty-nine million, eight hundred thirty-nine thousand, nine hundred eighty".