68105760 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 16727040.

The previous prime is 68105759. The next prime is 68105767. The reversal of 68105760 is 6750186.

It is not an unprimeable number, because it can be changed into a prime (68105767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342141 + ... + 342339.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^68105760 is an apocalyptic number.

68105760 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 68105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

68105760 is an abundant number, since it is smaller than the sum of its proper divisors (164137440).

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

68105760 is a wasteful number, since it uses less digits than its factorization.

68105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 68105760 is about 8252.6214017123. The cubic root of 68105760 is about 408.3770063890.

The spelling of 68105760 in words is "sixty-eight million, one hundred five thousand, seven hundred sixty".