29885568 has 64 divisors (see below), whose sum is σ = 79968000. Its totient is φ = 9888768.

The previous prime is 29885567. The next prime is 29885617. The reversal of 29885568 is 86558892.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29885568.

It is not an unprimeable number, because it can be changed into a prime (29885567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85458 + ... + 85806.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 2^29885568 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 29885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39984000).

29885568 is an abundant number, since it is smaller than the sum of its proper divisors (50082432).

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

29885568 is a wasteful number, since it uses less digits than its factorization.

29885568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The square root of 29885568 is about 5466.7694299284. The cubic root of 29885568 is about 310.3276729488.

The spelling of 29885568 in words is "twenty-nine million, eight hundred eighty-five thousand, five hundred sixty-eight".