67948686 has 64 divisors (see below), whose sum is σ = 166467840. Its totient is φ = 20412000.

The previous prime is 67948681. The next prime is 67948717. The reversal of 67948686 is 68684976.

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

67948686 is a modest number, since divided by 8686 gives 6794 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67948681) 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, 29061 + ... + 31311.

It is an arithmetic number, because the mean of its divisors is an integer number (2601060).

Almost surely, 2^67948686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67948686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83233920).

67948686 is an abundant number, since it is smaller than the sum of its proper divisors (98519154).

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

67948686 is a wasteful number, since it uses less digits than its factorization.

67948686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2312 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 67948686 is about 8243.0992957746. The cubic root of 67948686 is about 408.0628147232.

It can be divided in two parts, 67 and 948686, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 67948686 in words is "sixty-seven million, nine hundred forty-eight thousand, six hundred eighty-six".