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67908 = 2235659

67908 has 12 divisors (see below), whose sum is σ = 158480. Its totient is φ = 22632.

The previous prime is 67901. The next prime is 67927. The reversal of 67908 is 80976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×679082 = 9222992928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67901) by changing a digit.

67908 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2818 + ... + 2841.

267908 is an apocalyptic number.

It is an amenable number.

67908 is an abundant number, since it is smaller than the sum of its proper divisors (90572).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79240).

67908 is a wasteful number, since it uses less digits than its factorization.

67908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67908 is about 260.5916345549. The cubic root of 67908 is about 40.7981352473.

The spelling of 67908 in words is "sixty-seven thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 5659 11318 16977 22636 33954 67908