68181120 has 384 divisors, whose sum is σ = 286416000. Its totient is φ = 14598144.

The previous prime is 68181119. The next prime is 68181133. The reversal of 68181120 is 2118186.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766036 + ... + 766124.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^68181120 is an apocalyptic number.

68181120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

68181120 is an abundant number, since it is smaller than the sum of its proper divisors (218234880).

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

68181120 is a wasteful number, since it uses less digits than its factorization.

68181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 68181120 is about 8257.1859613309. The cubic root of 68181120 is about 408.5275758713.

The spelling of 68181120 in words is "sixty-eight million, one hundred eighty-one thousand, one hundred twenty".