29946880 has 44 divisors (see below), whose sum is σ = 71849700. Its totient is φ = 11976704.

The previous prime is 29946871. The next prime is 29946881. The reversal of 29946880 is 8864992.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 19501056 = 3232^2 + 4416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29946880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29946881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2196 + ... + 8044.

Almost surely, 2^29946880 is an apocalyptic number.

29946880 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 29946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35924850).

29946880 is an abundant number, since it is smaller than the sum of its proper divisors (41902820).

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

29946880 is an equidigital number, since it uses as much as digits as its factorization.

29946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 29946880 is about 5472.3742562073. The cubic root of 29946880 is about 310.5397464771.

The spelling of 29946880 in words is "twenty-nine million, nine hundred forty-six thousand, eight hundred eighty".