29068800 has 120 divisors (see below), whose sum is σ = 96153816. Its totient is φ = 7741440.

The previous prime is 29068799. The next prime is 29068801. The reversal of 29068800 is 886092.

It is an interprime number because it is at equal distance from previous prime (29068799) and next prime (29068801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29068801) 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 11 ways as a sum of consecutive naturals, for example, 38022 + ... + 38778.

Almost surely, 2^29068800 is an apocalyptic number.

29068800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48076908).

29068800 is an abundant number, since it is smaller than the sum of its proper divisors (67085016).

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

29068800 is an equidigital number, since it uses as much as digits as its factorization.

29068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 29068800 is about 5391.5489425582. The cubic root of 29068800 is about 307.4744509145.

The spelling of 29068800 in words is "twenty-nine million, sixty-eight thousand, eight hundred".