26416416 has 96 divisors (see below), whose sum is σ = 76120128. Its totient is φ = 7971840.

The previous prime is 26416399. The next prime is 26416417. The reversal of 26416416 is 61461462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26416417) 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, 75955 + ... + 76301.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 2^26416416 is an apocalyptic number.

26416416 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 26416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060064).

26416416 is an abundant number, since it is smaller than the sum of its proper divisors (49703712).

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

26416416 is a wasteful number, since it uses less digits than its factorization.

26416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 26416416 is about 5139.6902630411. The cubic root of 26416416 is about 297.8228155602.

Adding to 26416416 its reverse (61461462), we get a palindrome (87877878).

The spelling of 26416416 in words is "twenty-six million, four hundred sixteen thousand, four hundred sixteen".