68008800 has 144 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 17687040.

The previous prime is 68008793. The next prime is 68008817. The reversal of 68008800 is 880086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102871 + ... + 103529.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^68008800 is an apocalyptic number.

68008800 is a gapful number since it is divisible by the number (60) 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 68008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

68008800 is an abundant number, since it is smaller than the sum of its proper divisors (158851680).

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

68008800 is a wasteful number, since it uses less digits than its factorization.

68008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 68008800 is about 8246.7448123487. The cubic root of 68008800 is about 408.1831165719.

Adding to 68008800 its reverse (880086), we get a palindrome (68888886).

The spelling of 68008800 in words is "sixty-eight million, eight thousand, eight hundred".