26918640 has 240 divisors, whose sum is σ = 106392000. Its totient is φ = 6096384.

The previous prime is 26918581. The next prime is 26918651. The reversal of 26918640 is 4681962.

26918640 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×26918640² = 1449226358899200, which contains 22 as substring.

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 = 26918595 and 26918604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246906 + ... + 247014.

It is an arithmetic number, because the mean of its divisors is an integer number (443300).

Almost surely, 2^26918640 is an apocalyptic number.

26918640 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 26918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196000).

26918640 is an abundant number, since it is smaller than the sum of its proper divisors (79473360).

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

26918640 is a wasteful number, since it uses less digits than its factorization.

26918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26918640 is about 5188.3176464052. The cubic root of 26918640 is about 299.6983634864.

The spelling of 26918640 in words is "twenty-six million, nine hundred eighteen thousand, six hundred forty".