26805240 has 192 divisors, whose sum is σ = 108725760. Its totient is φ = 5564160.

The previous prime is 26805239. The next prime is 26805241. The reversal of 26805240 is 4250862.

It is an interprime number because it is at equal distance from previous prime (26805239) and next prime (26805241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26805241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27237 + ... + 28203.

It is an arithmetic number, because the mean of its divisors is an integer number (566280).

It is a vampire number, since it can be written as 4620 ⋅ 5802 (with its own digits).

Almost surely, 2^26805240 is an apocalyptic number.

26805240 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 26805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

26805240 is an abundant number, since it is smaller than the sum of its proper divisors (81920520).

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

26805240 is a wasteful number, since it uses less digits than its factorization.

26805240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26805240 is about 5177.3777146351. The cubic root of 26805240 is about 299.2769252767.

The spelling of 26805240 in words is "twenty-six million, eight hundred five thousand, two hundred forty".