29982160 has 80 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 10934784.

The previous prime is 29982151. The next prime is 29982163. The reversal of 29982160 is 6128992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29982163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131967 + ... + 132193.

Almost surely, 2^29982160 is an apocalyptic number.

29982160 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 29982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

29982160 is an abundant number, since it is smaller than the sum of its proper divisors (46012976).

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

29982160 is a wasteful number, since it uses less digits than its factorization.

29982160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 29982160 is about 5475.5967711292. The cubic root of 29982160 is about 310.6616461292.

The spelling of 29982160 in words is "twenty-nine million, nine hundred eighty-two thousand, one hundred sixty".