29716146 has 40 divisors (see below), whose sum is σ = 67862124. Its totient is φ = 9715680.

The previous prime is 29716129. The next prime is 29716151. The reversal of 29716146 is 64161792.

It can be written as a sum of positive squares in 2 ways, for example, as 29648025 + 68121 = 5445^2 + 261^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29716146.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6856 + ... + 10316.

Almost surely, 2^29716146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29716146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33931062).

29716146 is an abundant number, since it is smaller than the sum of its proper divisors (38145978).

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

29716146 is a wasteful number, since it uses less digits than its factorization.

29716146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3519 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29716146 is about 5451.2517828477. The cubic root of 29716146 is about 309.7401429714.

The spelling of 29716146 in words is "twenty-nine million, seven hundred sixteen thousand, one hundred forty-six".