29945216 has 64 divisors (see below), whose sum is σ = 71808000. Its totient is φ = 12151296.

The previous prime is 29945213. The next prime is 29945221. The reversal of 29945216 is 61254992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29945216² = 1793431922573312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 29945216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29945213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16145 + ... + 17903.

It is an arithmetic number, because the mean of its divisors is an integer number (1122000).

Almost surely, 2^29945216 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 29945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904000).

29945216 is an abundant number, since it is smaller than the sum of its proper divisors (41862784).

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

29945216 is a wasteful number, since it uses less digits than its factorization.

29945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 29945216 is about 5472.2222177101. Note that the first 4 decimals coincide. The cubic root of 29945216 is about 310.5339946513.

The spelling of 29945216 in words is "twenty-nine million, nine hundred forty-five thousand, two hundred sixteen".