29970160 has 40 divisors (see below), whose sum is σ = 76017456. Its totient is φ = 10897920.

The previous prime is 29970121. The next prime is 29970169. The reversal of 29970160 is 6107992.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29970169) 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 7 ways as a sum of consecutive naturals, for example, 16149 + ... + 17908.

Almost surely, 2^29970160 is an apocalyptic number.

29970160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29970160 is an abundant number, since it is smaller than the sum of its proper divisors (46047296).

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

29970160 is a wasteful number, since it uses less digits than its factorization.

29970160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34081 (or 34075 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 29970160 is about 5474.5008904922. The cubic root of 29970160 is about 310.6201943990.

The spelling of 29970160 in words is "twenty-nine million, nine hundred seventy thousand, one hundred sixty".