26168340 has 96 divisors (see below), whose sum is σ = 82575360. Its totient is φ = 6134400.

The previous prime is 26168299. The next prime is 26168341. The reversal of 26168340 is 4386162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26168298 and 26168307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26168341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19821 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (860160).

Almost surely, 2^26168340 is an apocalyptic number.

26168340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5115×5116.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287680).

26168340 is an abundant number, since it is smaller than the sum of its proper divisors (56407020).

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

26168340 is a wasteful number, since it uses less digits than its factorization.

26168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

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

The square root of 26168340 is about 5115.4999755645. The cubic root of 26168340 is about 296.8875993175.

26168340 divided by its sum of digits (30) gives a palindrome (872278).

The spelling of 26168340 in words is "twenty-six million, one hundred sixty-eight thousand, three hundred forty".