68906600 has 96 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 23301120.

The previous prime is 68906599. The next prime is 68906603. The reversal of 68906600 is 660986.

It is a Cunningham number, because it is equal to 8301²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (68906603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 115904 + ... + 116496.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^68906600 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 68906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

68906600 is an abundant number, since it is smaller than the sum of its proper divisors (116706520).

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

68906600 is a wasteful number, since it uses less digits than its factorization.

68906600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 68906600 is about 8300.9999397663. Note that the first 4 decimals coincide. The cubic root of 68906600 is about 409.9714435792.

The spelling of 68906600 in words is "sixty-eight million, nine hundred six thousand, six hundred".