26416 has 20 divisors (see below), whose sum is σ = 55552. Its totient is φ = 12096.

The previous prime is 26407. The next prime is 26417. The reversal of 26416 is 61462.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26393 and 26402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 271.

2²⁶⁴¹⁶ is an apocalyptic number.

26416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776).

26416 is an abundant number, since it is smaller than the sum of its proper divisors (29136).

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

26416 is a wasteful number, since it uses less digits than its factorization.

26416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 26416 is about 162.5299972313. The cubic root of 26416 is about 29.7821252202.

Adding to 26416 its reverse (61462), we get a palindrome (87878).

It can be divided in two parts, 264 and 16, that multiplied together give a palindrome (4224).

The spelling of 26416 in words is "twenty-six thousand, four hundred sixteen".