26838920 has 64 divisors (see below), whose sum is σ = 66193200. Its totient is φ = 9748480.

The previous prime is 26838919. The next prime is 26838941. The reversal of 26838920 is 2983862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10982596 + 15856324 = 3314^2 + 3982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19040 + ... + 20400.

Almost surely, 2^26838920 is an apocalyptic number.

26838920 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 26838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096600).

26838920 is an abundant number, since it is smaller than the sum of its proper divisors (39354280).

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

26838920 is a wasteful number, since it uses less digits than its factorization.

26838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 26838920 is about 5180.6293054030. The cubic root of 26838920 is about 299.4022170504.

The spelling of 26838920 in words is "twenty-six million, eight hundred thirty-eight thousand, nine hundred twenty".