67648 has 28 divisors (see below), whose sum is σ = 154432. Its totient is φ = 28800.

The previous prime is 67631. The next prime is 67651. The reversal of 67648 is 84676.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

67648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373 + ... + 523.

2⁶⁷⁶⁴⁸ 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 67648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216).

67648 is an abundant number, since it is smaller than the sum of its proper divisors (86784).

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

67648 is a wasteful number, since it uses less digits than its factorization.

67648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 67648 is about 260.0922913121. The cubic root of 67648 is about 40.7460005861.

The spelling of 67648 in words is "sixty-seven thousand, six hundred forty-eight".