26838540 has 60 divisors (see below), whose sum is σ = 84198576. Its totient is φ = 7156512.

The previous prime is 26838527. The next prime is 26838541. The reversal of 26838540 is 4583862.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 26838495 and 26838504.

It is not an unprimeable number, because it can be changed into a prime (26838541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6664 + ... + 9903.

Almost surely, 2^26838540 is an apocalyptic number.

26838540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26838540 is an abundant number, since it is smaller than the sum of its proper divisors (57360036).

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

26838540 is a wasteful number, since it uses less digits than its factorization.

26838540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 16577 counting only the distinct ones).

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

The square root of 26838540 is about 5180.5926301920. The cubic root of 26838540 is about 299.4008040107.

The spelling of 26838540 in words is "twenty-six million, eight hundred thirty-eight thousand, five hundred forty".