29116260 has 84 divisors (see below), whose sum is σ = 91720188. Its totient is φ = 7760448.

The previous prime is 29116259. The next prime is 29116267. The reversal of 29116260 is 6261192.

29116260 is a `hidden beast` number, since 29 + 11 + 626 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 24681024 = 2106^2 + 4968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (29116267) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 13582 + ... + 15578.

It is an arithmetic number, because the mean of its divisors is an integer number (1091907).

Almost surely, 2^29116260 is an apocalyptic number.

29116260 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 29116260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45860094).

29116260 is an abundant number, since it is smaller than the sum of its proper divisors (62603928).

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

29116260 is a wasteful number, since it uses less digits than its factorization.

29116260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29116260 is about 5395.9484801099. The cubic root of 29116260 is about 307.6416955535.

The spelling of 29116260 in words is "twenty-nine million, one hundred sixteen thousand, two hundred sixty".