65408 has 32 divisors (see below), whose sum is σ = 150960. Its totient is φ = 27648.

The previous prime is 65407. The next prime is 65413. The reversal of 65408 is 80456.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65407) 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, 860 + ... + 932.

2⁶⁵⁴⁰⁸ 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 65408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75480).

65408 is an abundant number, since it is smaller than the sum of its proper divisors (85552).

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

65408 is an equidigital number, since it uses as much as digits as its factorization.

65408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 65408 is about 255.7498778103. The cubic root of 65408 is about 40.2912081341.

The spelling of 65408 in words is "sixty-five thousand, four hundred eight".