68166400 has 54 divisors (see below), whose sum is σ = 168738332. Its totient is φ = 27264000.

The previous prime is 68166353. The next prime is 68166401. The reversal of 68166400 is 466186.

It is not an unprimeable number, because it can be changed into a prime (68166401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1075 + ... + 11725.

Almost surely, 2^68166400 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 68166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369166).

68166400 is an abundant number, since it is smaller than the sum of its proper divisors (100571932).

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

68166400 is a wasteful number, since it uses less digits than its factorization.

68166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10677 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 68166400 is about 8256.2945683884. The cubic root of 68166400 is about 408.4981739942.

It can be divided in two parts, 681 and 66400, that added together give a square (67081 = 259²).

The spelling of 68166400 in words is "sixty-eight million, one hundred sixty-six thousand, four hundred".