26829440 has 128 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 9400320.

The previous prime is 26829371. The next prime is 26829479. The reversal of 26829440 is 4492862.

26829440 = T₁₆₅ + T₁₆₆ + ... + T₅₄₈.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26829440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260429 + ... + 260531.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^26829440 is an apocalyptic number.

26829440 is a gapful number since it is divisible by the number (20) 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 26829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

26829440 is an abundant number, since it is smaller than the sum of its proper divisors (45729280).

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

26829440 is a wasteful number, since it uses less digits than its factorization.

26829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 26829440 is about 5179.7142778343. The cubic root of 26829440 is about 299.3669614431.

The spelling of 26829440 in words is "twenty-six million, eight hundred twenty-nine thousand, four hundred forty".