65406 has 16 divisors (see below), whose sum is σ = 142848. Its totient is φ = 19800.

The previous prime is 65393. The next prime is 65407. The reversal of 65406 is 60456.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65406.

It is not an unprimeable number, because it can be changed into a prime (65407) by changing a digit.

65406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2⁶⁵⁴⁰⁶ is an apocalyptic number.

65406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

65406 is an abundant number, since it is smaller than the sum of its proper divisors (77442).

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).

65406 is a wasteful number, since it uses less digits than its factorization.

65406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 65406 is about 255.7459677101. The cubic root of 65406 is about 40.2907974645.

Subtracting from 65406 its reverse (60456), we obtain a triangular number (4950 = T₉₉).

The spelling of 65406 in words is "sixty-five thousand, four hundred six".