29420160 has 256 divisors, whose sum is σ = 117504000. Its totient is φ = 6082560.

The previous prime is 29420159. The next prime is 29420161. The reversal of 29420160 is 6102492.

It is an interprime number because it is at equal distance from previous prime (29420159) and next prime (29420161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 29420160.

It is not an unprimeable number, because it can be changed into a prime (29420161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147741 + ... + 147939.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^29420160 is an apocalyptic number.

29420160 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 29420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

29420160 is an abundant number, since it is smaller than the sum of its proper divisors (88083840).

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

29420160 is a wasteful number, since it uses less digits than its factorization.

29420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 29420160 is about 5424.0353981146. The cubic root of 29420160 is about 308.7083264794.

The spelling of 29420160 in words is "twenty-nine million, four hundred twenty thousand, one hundred sixty".