26131620 has 96 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 6649344.

The previous prime is 26131619. The next prime is 26131627. The reversal of 26131620 is 2613162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26131627) 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 31 ways as a sum of consecutive naturals, for example, 175306 + ... + 175454.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 2^26131620 is an apocalyptic number.

26131620 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 26131620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

26131620 is an abundant number, since it is smaller than the sum of its proper divisors (50476380).

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

26131620 is a wasteful number, since it uses less digits than its factorization.

26131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26131620 is about 5111.9096236143. The cubic root of 26131620 is about 296.7486678734.

Adding to 26131620 its reverse (2613162), we get a palindrome (28744782).

The spelling of 26131620 in words is "twenty-six million, one hundred thirty-one thousand, six hundred twenty".