29868256 has 48 divisors (see below), whose sum is σ = 65400048. Its totient is φ = 13312000.

The previous prime is 29868239. The next prime is 29868257. The reversal of 29868256 is 65286892.

It is a super-2 number, since 2×29868256² = 1784225432963072, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29868257) 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, 17856 + ... + 19456.

It is an arithmetic number, because the mean of its divisors is an integer number (1362501).

Almost surely, 2^29868256 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 29868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700024).

29868256 is an abundant number, since it is smaller than the sum of its proper divisors (35531792).

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

29868256 is a wasteful number, since it uses less digits than its factorization.

29868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 29868256 is about 5465.1858156882. The cubic root of 29868256 is about 310.2677395569.

The spelling of 29868256 in words is "twenty-nine million, eight hundred sixty-eight thousand, two hundred fifty-six".