29116416 has 96 divisors (see below), whose sum is σ = 88845120. Its totient is φ = 8306688.

The previous prime is 29116411. The next prime is 29116421. The reversal of 29116416 is 61461192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29116411) and next prime (29116421).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (29116411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42670 + ... + 43346.

It is an arithmetic number, because the mean of its divisors is an integer number (925470).

Almost surely, 2^29116416 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 29116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44422560).

29116416 is an abundant number, since it is smaller than the sum of its proper divisors (59728704).

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

29116416 is an equidigital number, since it uses as much as digits as its factorization.

29116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 689 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 29116416 is about 5395.9629353805. The cubic root of 29116416 is about 307.6422449833.

The spelling of 29116416 in words is "twenty-nine million, one hundred sixteen thousand, four hundred sixteen".