29116116 has 54 divisors (see below), whose sum is σ = 76595610. Its totient is φ = 9314592.

The previous prime is 29116103. The next prime is 29116127. The reversal of 29116116 is 61161192.

It can be written as a sum of positive squares in only one way, i.e., 25100100 + 4016016 = 5010^2 + 2004^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29116116.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 174265 + ... + 174431.

Almost surely, 2^29116116 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 29116116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38297805).

29116116 is an abundant number, since it is smaller than the sum of its proper divisors (47479494).

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

29116116 is a wasteful number, since it uses less digits than its factorization.

29116116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 201 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 29116116 is about 5395.9351367488. The cubic root of 29116116 is about 307.6411883858.

The spelling of 29116116 in words is "twenty-nine million, one hundred sixteen thousand, one hundred sixteen".