67408 has 20 divisors (see below), whose sum is σ = 142848. Its totient is φ = 30560.

The previous prime is 67399. The next prime is 67409. The reversal of 67408 is 80476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 367.

2⁶⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

67408 is an abundant number, since it is smaller than the sum of its proper divisors (75440).

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 (71424).

67408 is a wasteful number, since it uses less digits than its factorization.

67408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67408 is about 259.6305066821. The cubic root of 67408 is about 40.6977575850.

The spelling of 67408 in words is "sixty-seven thousand, four hundred eight".