26785440 has 288 divisors, whose sum is σ = 106142400. Its totient is φ = 6082560.

The previous prime is 26785433. The next prime is 26785471. The reversal of 26785440 is 4458762.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26785395 and 26785404.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 300916 + ... + 301004.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^26785440 is an apocalyptic number.

26785440 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 26785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

26785440 is an abundant number, since it is smaller than the sum of its proper divisors (79356960).

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

26785440 is a wasteful number, since it uses less digits than its factorization.

26785440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 26785440 is about 5175.4651964823. The cubic root of 26785440 is about 299.2032190070.

It can be divided in two parts, 26785 and 440, that added together give a square (27225 = 165²).

The spelling of 26785440 in words is "twenty-six million, seven hundred eighty-five thousand, four hundred forty".