26345616 has 80 divisors (see below), whose sum is σ = 76120128. Its totient is φ = 7782400.

The previous prime is 26345569. The next prime is 26345617. The reversal of 26345616 is 61654362.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (26345617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21040 + ... + 22256.

Almost surely, 2^26345616 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 26345616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060064).

26345616 is an abundant number, since it is smaller than the sum of its proper divisors (49774512).

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

26345616 is a wasteful number, since it uses less digits than its factorization.

26345616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 26345616 is about 5132.7980673313. The cubic root of 26345616 is about 297.5565074029.

Adding to 26345616 its reverse (61654362), we get a palindrome (87999978).

The spelling of 26345616 in words is "twenty-six million, three hundred forty-five thousand, six hundred sixteen".