68338160 has 80 divisors (see below), whose sum is σ = 175703040. Its totient is φ = 24510720.

The previous prime is 68338159. The next prime is 68338187. The reversal of 68338160 is 6183386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×68338160² = 9340208224371200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68338160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69029 + ... + 70011.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288).

Almost surely, 2^68338160 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 68338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

68338160 is an abundant number, since it is smaller than the sum of its proper divisors (107364880).

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

68338160 is a wasteful number, since it uses less digits than its factorization.

68338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 68338160 is about 8266.6897849139. The cubic root of 68338160 is about 408.8409860829.

The spelling of 68338160 in words is "sixty-eight million, three hundred thirty-eight thousand, one hundred sixty".