68084600 has 144 divisors (see below), whose sum is σ = 178582320. Its totient is φ = 24076800.

The previous prime is 68084593. The next prime is 68084617. The reversal of 68084600 is 648086.

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 35 ways as a sum of consecutive naturals, for example, 1660580 + ... + 1660620.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 2^68084600 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 68084600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291160).

68084600 is an abundant number, since it is smaller than the sum of its proper divisors (110497720).

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

68084600 is a wasteful number, since it uses less digits than its factorization.

68084600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 68084600 is about 8251.3392852312. The cubic root of 68084600 is about 408.3347086816.

The spelling of 68084600 in words is "sixty-eight million, eighty-four thousand, six hundred".