26783640 has 192 divisors, whose sum is σ = 96314400. Its totient is φ = 6414336.

The previous prime is 26783629. The next prime is 26783641. The reversal of 26783640 is 4638762.

26783640 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 3 + 640 = 666.

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 = 26783595 and 26783604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26783641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276072 + ... + 276168.

Almost surely, 2^26783640 is an apocalyptic number.

26783640 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 26783640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

26783640 is an abundant number, since it is smaller than the sum of its proper divisors (69530760).

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

26783640 is a wasteful number, since it uses less digits than its factorization.

26783640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 26783640 is about 5175.2912961494. The cubic root of 26783640 is about 299.1965166361.

The spelling of 26783640 in words is "twenty-six million, seven hundred eighty-three thousand, six hundred forty".