68928800 has 36 divisors (see below), whose sum is σ = 168274386. Its totient is φ = 27571200.

The previous prime is 68928799. The next prime is 68928803. The reversal of 68928800 is 882986.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36529936 + 32398864 = 6044^2 + 5692^2 .

It is not an unprimeable number, because it can be changed into a prime (68928803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42281 + ... + 43880.

Almost surely, 2^68928800 is an apocalyptic number.

It is an amenable number.

68928800 is an abundant number, since it is smaller than the sum of its proper divisors (99345586).

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

68928800 is a wasteful number, since it uses less digits than its factorization.

68928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86181 (or 86168 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 68928800 is about 8302.3370203817. The cubic root of 68928800 is about 410.0154664005.

The spelling of 68928800 in words is "sixty-eight million, nine hundred twenty-eight thousand, eight hundred".