26260416 has 224 divisors, whose sum is σ = 95585280. Its totient is φ = 6884352.

The previous prime is 26260397. The next prime is 26260447. The reversal of 26260416 is 61406262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 26260416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157165 + ... + 157331.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 2^26260416 is an apocalyptic number.

26260416 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 26260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792640).

26260416 is an abundant number, since it is smaller than the sum of its proper divisors (69324864).

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

26260416 is a wasteful number, since it uses less digits than its factorization.

26260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26260416 is about 5124.4917796792. The cubic root of 26260416 is about 297.2354015772.

Adding to 26260416 its reverse (61406262), we get a palindrome (87666678).

The spelling of 26260416 in words is "twenty-six million, two hundred sixty thousand, four hundred sixteen".