29379616 has 72 divisors (see below), whose sum is σ = 69076476. Its totient is φ = 12257280.

The previous prime is 29379601. The next prime is 29379619. The reversal of 29379616 is 61697392.

It can be written as a sum of positive squares in 2 ways, for example, as 29203216 + 176400 = 5404^2 + 420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64060 + ... + 64516.

Almost surely, 2^29379616 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 29379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34538238).

29379616 is an abundant number, since it is smaller than the sum of its proper divisors (39696860).

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

29379616 is a wasteful number, since it uses less digits than its factorization.

29379616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 29379616 is about 5420.2966708475. The cubic root of 29379616 is about 308.5664507003.

The spelling of 29379616 in words is "twenty-nine million, three hundred seventy-nine thousand, six hundred sixteen".