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26420 = 2251321

26420 has 12 divisors (see below), whose sum is σ = 55524. Its totient is φ = 10560.

The previous prime is 26417. The next prime is 26423. The reversal of 26420 is 2462.

It is an interprime number because it is at equal distance from previous prime (26417) and next prime (26423).

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 8464 = 134^2 + 92^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 26395 and 26404.

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 26420.

It is not an unprimeable number, because it can be changed into a prime (26423) 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, 641 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (4627).

226420 is an apocalyptic number.

26420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26420 is an abundant number, since it is smaller than the sum of its proper divisors (29104).

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 (27762).

26420 is a wasteful number, since it uses less digits than its factorization.

26420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 26420 is about 162.5423021862. The cubic root of 26420 is about 29.7836283810.

Adding to 26420 its reverse (2462), we get a palindrome (28882).

The spelling of 26420 in words is "twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1321 2642 5284 6605 13210 26420