29966160 has 80 divisors (see below), whose sum is σ = 106171776. Its totient is φ = 6849024.

The previous prime is 29966149. The next prime is 29966161. The reversal of 29966160 is 6166992.

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 (29966161) 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, 7239 + ... + 10598.

Almost surely, 2^29966160 is an apocalyptic number.

29966160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29966160 is an abundant number, since it is smaller than the sum of its proper divisors (76205616).

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

29966160 is a wasteful number, since it uses less digits than its factorization.

29966160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 29966160 is about 5474.1355481939. The cubic root of 29966160 is about 310.6063746968.

The spelling of 29966160 in words is "twenty-nine million, nine hundred sixty-six thousand, one hundred sixty".