26531120 has 160 divisors (see below), whose sum is σ = 79280640. Its totient is φ = 8017920.

The previous prime is 26531093. The next prime is 26531159. The reversal of 26531120 is 2113562.

26531120 is nontrivially palindromic in base 12.

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 = 26531092 and 26531101.

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 31 ways as a sum of consecutive naturals, for example, 363404 + ... + 363476.

It is an arithmetic number, because the mean of its divisors is an integer number (495504).

Almost surely, 2^26531120 is an apocalyptic number.

26531120 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 26531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640320).

26531120 is an abundant number, since it is smaller than the sum of its proper divisors (52749520).

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

26531120 is a wasteful number, since it uses less digits than its factorization.

26531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

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

The square root of 26531120 is about 5150.8368252159. The cubic root of 26531120 is about 298.2532567733.

Adding to 26531120 its reverse (2113562), we get a palindrome (28644682).

It can be divided in two parts, 2653 and 1120, that added together give a palindrome (3773).

The spelling of 26531120 in words is "twenty-six million, five hundred thirty-one thousand, one hundred twenty".