68687136 has 192 divisors, whose sum is σ = 235388160. Its totient is φ = 19077120.

The previous prime is 68687117. The next prime is 68687153. The reversal of 68687136 is 63178686.

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

It is a junction number, because it is equal to n+sod(n) for n = 68687091 and 68687100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247830 + ... + 248106.

It is an arithmetic number, because the mean of its divisors is an integer number (1225980).

Almost surely, 2^68687136 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 68687136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117694080).

68687136 is an abundant number, since it is smaller than the sum of its proper divisors (166701024).

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

68687136 is a wasteful number, since it uses less digits than its factorization.

68687136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

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

The square root of 68687136 is about 8287.7702670863. The cubic root of 68687136 is about 409.5357346481.

The spelling of 68687136 in words is "sixty-eight million, six hundred eighty-seven thousand, one hundred thirty-six".