29144016 has 80 divisors (see below), whose sum is σ = 91273920. Its totient is φ = 8830080.

The previous prime is 29143993. The next prime is 29144023. The reversal of 29144016 is 61044192.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (1140924).

Almost surely, 2^29144016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45636960).

29144016 is an abundant number, since it is smaller than the sum of its proper divisors (62129904).

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

29144016 is a wasteful number, since it uses less digits than its factorization.

29144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29144016 is about 5398.5197971296. The cubic root of 29144016 is about 307.7394209140.

The spelling of 29144016 in words is "twenty-nine million, one hundred forty-four thousand, sixteen".