68968900 has 216 divisors, whose sum is σ = 205861824. Its totient is φ = 19468800.

The previous prime is 68968897. The next prime is 68968909. The reversal of 68968900 is 986986.

It is a happy number.

68968900 is nontrivially palindromic in base 8.

It is not an unprimeable number, because it can be changed into a prime (68968909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301274 + ... + 1301326.

It is an arithmetic number, because the mean of its divisors is an integer number (953064).

Almost surely, 2^68968900 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 68968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102930912).

68968900 is an abundant number, since it is smaller than the sum of its proper divisors (136892924).

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

68968900 is a wasteful number, since it uses less digits than its factorization.

68968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

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

The square root of 68968900 is about 8304.7516519159. The cubic root of 68968900 is about 410.0949611491.

It can be divided in two parts, 689 and 68900, that multiplied together give a square (47472100 = 6890²).

The spelling of 68968900 in words is "sixty-eight million, nine hundred sixty-eight thousand, nine hundred".