67968846 has 48 divisors (see below), whose sum is σ = 162038448. Its totient is φ = 20589360.

The previous prime is 67968829. The next prime is 67968899. The reversal of 67968846 is 64886976.

It is a junction number, because it is equal to n+sod(n) for n = 67968792 and 67968801.

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 23 ways as a sum of consecutive naturals, for example, 22540 + ... + 25376.

It is an arithmetic number, because the mean of its divisors is an integer number (3375801).

Almost surely, 2^67968846 is an apocalyptic number.

67968846 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 67968846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81019224).

67968846 is an abundant number, since it is smaller than the sum of its proper divisors (94069602).

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

67968846 is a wasteful number, since it uses less digits than its factorization.

67968846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2853 counting only the distinct ones).

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

The square root of 67968846 is about 8244.3220461115. The cubic root of 67968846 is about 408.1031673940.

The spelling of 67968846 in words is "sixty-seven million, nine hundred sixty-eight thousand, eight hundred forty-six".