68136768 has 224 divisors, whose sum is σ = 236037120. Its totient is φ = 18869760.

The previous prime is 68136743. The next prime is 68136769. The reversal of 68136768 is 86763186.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68136769) 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, 520063 + ... + 520193.

Almost surely, 2^68136768 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 68136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118018560).

68136768 is an abundant number, since it is smaller than the sum of its proper divisors (167900352).

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

68136768 is a wasteful number, since it uses less digits than its factorization.

68136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 68136768 is about 8254.4998637107. The cubic root of 68136768 is about 408.4389738982.

The spelling of 68136768 in words is "sixty-eight million, one hundred thirty-six thousand, seven hundred sixty-eight".