68050080 has 288 divisors, whose sum is σ = 273297024. Its totient is φ = 15095808.

The previous prime is 68050057. The next prime is 68050111. The reversal of 68050080 is 8005086.

68050080 is a `hidden beast` number, since 6 + 80 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433362 + ... + 433518.

It is an arithmetic number, because the mean of its divisors is an integer number (948948).

Almost surely, 2^68050080 is an apocalyptic number.

68050080 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 68050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136648512).

68050080 is an abundant number, since it is smaller than the sum of its proper divisors (205246944).

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

68050080 is a wasteful number, since it uses less digits than its factorization.

68050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68050080 is about 8249.2472383848. The cubic root of 68050080 is about 408.2656862347.

The spelling of 68050080 in words is "sixty-eight million, fifty thousand, eighty".