26807040 has 216 divisors, whose sum is σ = 100442160. Its totient is φ = 6561792.

The previous prime is 26807023. The next prime is 26807057. The reversal of 26807040 is 4070862.

It is an interprime number because it is at equal distance from previous prime (26807023) and next prime (26807057).

It is a junction number, because it is equal to n+sod(n) for n = 26806995 and 26807013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149671 + ... + 149849.

It is an arithmetic number, because the mean of its divisors is an integer number (465010).

Almost surely, 2^26807040 is an apocalyptic number.

26807040 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 26807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221080).

26807040 is an abundant number, since it is smaller than the sum of its proper divisors (73635120).

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

26807040 is a wasteful number, since it uses less digits than its factorization.

26807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26807040 is about 5177.5515448907. The cubic root of 26807040 is about 299.2836240466.

The spelling of 26807040 in words is "twenty-six million, eight hundred seven thousand, forty".