26131520 has 56 divisors (see below), whose sum is σ = 62813184. Its totient is φ = 10354176.

The previous prime is 26131507. The next prime is 26131537. The reversal of 26131520 is 2513162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 26131492 and 26131501.

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 7 ways as a sum of consecutive naturals, for example, 40319 + ... + 40961.

It is an arithmetic number, because the mean of its divisors is an integer number (1121664).

Almost surely, 2^26131520 is an apocalyptic number.

26131520 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 26131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406592).

26131520 is an abundant number, since it is smaller than the sum of its proper divisors (36681664).

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

26131520 is a wasteful number, since it uses less digits than its factorization.

26131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 26131520 is about 5111.8998425243. The cubic root of 26131520 is about 296.7482893421.

Adding to 26131520 its reverse (2513162), we get a palindrome (28644682).

The spelling of 26131520 in words is "twenty-six million, one hundred thirty-one thousand, five hundred twenty".