68668600 has 240 divisors, whose sum is σ = 218814120. Its totient is φ = 19756800.

The previous prime is 68668571. The next prime is 68668637. The reversal of 68668600 is 686686.

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5282194 + ... + 5282206.

Almost surely, 2^68668600 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 68668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109407060).

68668600 is an abundant number, since it is smaller than the sum of its proper divisors (150145520).

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

68668600 is a wasteful number, since it uses less digits than its factorization.

68668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 68668600 is about 8286.6519173910. The cubic root of 68668600 is about 409.4988920514.

Multiplying 68668600 by its reverse (686686), we get a square (47153766259600 = 6866860²).

68668600 divided by its reverse (686686) gives a square (100 = 10²).

It can be divided in two parts, 686 and 68600, that multiplied together give a square (47059600 = 6860²).

The spelling of 68668600 in words is "sixty-eight million, six hundred sixty-eight thousand, six hundred".