68009760 has 384 divisors, whose sum is σ = 294658560. Its totient is φ = 14266368.

The previous prime is 68009749. The next prime is 68009779. The reversal of 68009760 is 6790086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393034 + ... + 393206.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 2^68009760 is an apocalyptic number.

68009760 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 68009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

68009760 is an abundant number, since it is smaller than the sum of its proper divisors (226648800).

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

68009760 is a wasteful number, since it uses less digits than its factorization.

68009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 68009760 is about 8246.8030169272. The cubic root of 68009760 is about 408.1850371761.

The spelling of 68009760 in words is "sixty-eight million, nine thousand, seven hundred sixty".