26213616 has 240 divisors, whose sum is σ = 92077440. Its totient is φ = 6842880.

The previous prime is 26213611. The next prime is 26213623. The reversal of 26213616 is 61631262.

26213616 is a `hidden beast` number, since 2 + 621 + 36 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26213616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26213611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391215 + ... + 391281.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 2^26213616 is an apocalyptic number.

26213616 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 26213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038720).

26213616 is an abundant number, since it is smaller than the sum of its proper divisors (65863824).

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

26213616 is a wasteful number, since it uses less digits than its factorization.

26213616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 26213616 is about 5119.9234369275. The cubic root of 26213616 is about 297.0587238913.

Adding to 26213616 its reverse (61631262), we get a palindrome (87844878).

The spelling of 26213616 in words is "twenty-six million, two hundred thirteen thousand, six hundred sixteen".