68996800 has 84 divisors (see below), whose sum is σ = 175747680. Its totient is φ = 26629120.

The previous prime is 68996797. The next prime is 68996813. The reversal of 68996800 is 869986.

It is a happy number.

It is an unprimeable number.

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, 45657 + ... + 47143.

Almost surely, 2^68996800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87873840).

68996800 is an abundant number, since it is smaller than the sum of its proper divisors (106750880).

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

68996800 is a wasteful number, since it uses less digits than its factorization.

68996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 68996800 is about 8306.4312433198. The cubic root of 68996800 is about 410.1502522872.

It can be divided in two parts, 68996 and 800, that added together give a palindrome (69796).

The spelling of 68996800 in words is "sixty-eight million, nine hundred ninety-six thousand, eight hundred".