29000160 has 288 divisors, whose sum is σ = 118933920. Its totient is φ = 6580224.

The previous prime is 29000149. The next prime is 29000177. The reversal of 29000160 is 6100092.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211612 + ... + 211748.

It is an arithmetic number, because the mean of its divisors is an integer number (412965).

Almost surely, 2^29000160 is an apocalyptic number.

29000160 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 29000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

29000160 is an abundant number, since it is smaller than the sum of its proper divisors (89933760).

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

29000160 is a wasteful number, since it uses less digits than its factorization.

29000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 29000160 is about 5385.1796627411. The cubic root of 29000160 is about 307.2322475913.

The spelling of 29000160 in words is "twenty-nine million, one hundred sixty", and thus it is an aban number.