29746116 has 63 divisors (see below), whose sum is σ = 78828253. Its totient is φ = 9817200.

The previous prime is 29746111. The next prime is 29746127. The reversal of 29746116 is 61164792.

The square root of 29746116 is 5454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 1166400 = 5346^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (18144) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (29746111) 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 20 ways as a sum of consecutive naturals, for example, 294466 + ... + 294566.

Almost surely, 2^29746116 is an apocalyptic number.

29746116 is the 5454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29746116

29746116 is an abundant number, since it is smaller than the sum of its proper divisors (49082137).

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

29746116 is an equidigital number, since it uses as much as digits as its factorization.

29746116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

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

The cubic root of 29746116 is about 309.8442366976.

Multiplying 29746116 by its sum of digits (36), we get a square (1070860176 = 32724²).

29746116 divided by its sum of digits (36) gives a square (826281 = 909²).

The spelling of 29746116 in words is "twenty-nine million, seven hundred forty-six thousand, one hundred sixteen".