68288800 has 36 divisors (see below), whose sum is σ = 166711986. Its totient is φ = 27315200.

The previous prime is 68288797. The next prime is 68288837. The reversal of 68288800 is 888286.

It can be written as a sum of positive squares in 3 ways, for example, as 56972304 + 11316496 = 7548^2 + 3364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41881 + ... + 43480.

Almost surely, 2^68288800 is an apocalyptic number.

It is an amenable number.

68288800 is an abundant number, since it is smaller than the sum of its proper divisors (98423186).

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

68288800 is a wasteful number, since it uses less digits than its factorization.

68288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85381 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 68288800 is about 8263.7037701021. The cubic root of 68288800 is about 408.7425283948.

The spelling of 68288800 in words is "sixty-eight million, two hundred eighty-eight thousand, eight hundred".