29968800 has 72 divisors (see below), whose sum is σ = 97556256. Its totient is φ = 7991040.

The previous prime is 29968781. The next prime is 29968801. The reversal of 29968800 is 886992.

It is not an unprimeable number, because it can be changed into a prime (29968801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3844 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (1354948).

Almost surely, 2^29968800 is an apocalyptic number.

29968800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29968800 is an abundant number, since it is smaller than the sum of its proper divisors (67587456).

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

29968800 is a wasteful number, since it uses less digits than its factorization.

29968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 29968800 is about 5474.3766768464. The cubic root of 29968800 is about 310.6154958382.

The spelling of 29968800 in words is "twenty-nine million, nine hundred sixty-eight thousand, eight hundred".