26168640 has 56 divisors (see below), whose sum is σ = 83088480. Its totient is φ = 6978048.

The previous prime is 26168633. The next prime is 26168647. The reversal of 26168640 is 4686162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26168633) and next prime (26168647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26168647) 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 7 ways as a sum of consecutive naturals, for example, 12670 + ... + 14589.

Almost surely, 2^26168640 is an apocalyptic number.

26168640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26168640 is an abundant number, since it is smaller than the sum of its proper divisors (56919840).

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

26168640 is a wasteful number, since it uses less digits than its factorization.

26168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26168640 is about 5115.5292981274. The cubic root of 26168640 is about 296.8887338429. Note that the first 3 decimals are identical.

It can be divided in two parts, 261686 and 40, that added together give a triangular number (261726 = T₇₂₃).

The spelling of 26168640 in words is "twenty-six million, one hundred sixty-eight thousand, six hundred forty".