67936 has 24 divisors (see below), whose sum is σ = 146664. Its totient is φ = 30720.

The previous prime is 67933. The next prime is 67939. The reversal of 67936 is 63976.

It is an interprime number because it is at equal distance from previous prime (67933) and next prime (67939).

It is a junction number, because it is equal to n+sod(n) for n = 67898 and 67907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (6111).

2⁶⁷⁹³⁶ 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 67936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73332).

67936 is an abundant number, since it is smaller than the sum of its proper divisors (78728).

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

67936 is a wasteful number, since it uses less digits than its factorization.

67936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 67936 is about 260.6453529223. The cubic root of 67936 is about 40.8037418073.

The spelling of 67936 in words is "sixty-seven thousand, nine hundred thirty-six".