29020160 has 104 divisors (see below), whose sum is σ = 75684840. Its totient is φ = 10616832.

The previous prime is 29020157. The next prime is 29020193. The reversal of 29020160 is 6102092.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 27541504 = 1216^2 + 5248^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266186 + ... + 266294.

Almost surely, 2^29020160 is an apocalyptic number.

29020160 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 29020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37842420).

29020160 is an abundant number, since it is smaller than the sum of its proper divisors (46664680).

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

29020160 is a wasteful number, since it uses less digits than its factorization.

29020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 29020160 is about 5387.0362909489. The cubic root of 29020160 is about 307.3028590746.

The spelling of 29020160 in words is "twenty-nine million, twenty thousand, one hundred sixty".