29785668 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 8400000.

The previous prime is 29785603. The next prime is 29785687. The reversal of 29785668 is 86658792.

It is a self number, because there is not a number n which added to its sum of digits gives 29785668.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 118543 + ... + 118793.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^29785668 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 29785668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

29785668 is an abundant number, since it is smaller than the sum of its proper divisors (51499452).

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

29785668 is a wasteful number, since it uses less digits than its factorization.

29785668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 29785668 is about 5457.6247580793. The cubic root of 29785668 is about 309.9815042728.

It can be divided in two parts, 2978 and 5668, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 29785668 in words is "twenty-nine million, seven hundred eighty-five thousand, six hundred sixty-eight".