29974120 has 64 divisors (see below), whose sum is σ = 74312640. Its totient is φ = 10880320.

The previous prime is 29974103. The next prime is 29974121. The reversal of 29974120 is 2147992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29974121) 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 15 ways as a sum of consecutive naturals, for example, 52959 + ... + 53521.

It is an arithmetic number, because the mean of its divisors is an integer number (1161135).

Almost surely, 2^29974120 is an apocalyptic number.

29974120 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 29974120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156320).

29974120 is an abundant number, since it is smaller than the sum of its proper divisors (44338520).

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

29974120 is a wasteful number, since it uses less digits than its factorization.

29974120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 29974120 is about 5474.8625553524. The cubic root of 29974120 is about 310.6338746930.

It can be divided in two parts, 2997 and 4120, that added together give a palindrome (7117).

The spelling of 29974120 in words is "twenty-nine million, nine hundred seventy-four thousand, one hundred twenty".