26538840 has 80 divisors (see below), whose sum is σ = 89210880. Its totient is φ = 7076160.

The previous prime is 26538833. The next prime is 26538847. The reversal of 26538840 is 4883562.

It is an interprime number because it is at equal distance from previous prime (26538833) and next prime (26538847).

It is a super-3 number, since 3×26538840³ (a number of 23 digits) contains 333 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 = 26538795 and 26538804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26538847) 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 19 ways as a sum of consecutive naturals, for example, 856 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (1115136).

Almost surely, 2^26538840 is an apocalyptic number.

26538840 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 26538840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44605440).

26538840 is an abundant number, since it is smaller than the sum of its proper divisors (62672040).

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

26538840 is a wasteful number, since it uses less digits than its factorization.

26538840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 26538840 is about 5151.5861635034. The cubic root of 26538840 is about 298.2821824507.

The spelling of 26538840 in words is "twenty-six million, five hundred thirty-eight thousand, eight hundred forty".