68677686 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 17534880.

The previous prime is 68677673. The next prime is 68677691.

68677686 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345015 + ... + 345213.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^68677686 is an apocalyptic number.

68677686 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68677686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

68677686 is an abundant number, since it is smaller than the sum of its proper divisors (124858314).

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

68677686 is a wasteful number, since it uses less digits than its factorization.

68677686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 68677686 is about 8287.2001303215. The cubic root of 68677686 is about 409.5169524305.

The spelling of 68677686 in words is "sixty-eight million, six hundred seventy-seven thousand, six hundred eighty-six".