26130720 has 288 divisors, whose sum is σ = 105489216. Its totient is φ = 5376000.

The previous prime is 26130707. The next prime is 26130721. The reversal of 26130720 is 2703162.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (26130721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 258670 + ... + 258770.

It is an arithmetic number, because the mean of its divisors is an integer number (366282).

Almost surely, 2^26130720 is an apocalyptic number.

26130720 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 26130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52744608).

26130720 is an abundant number, since it is smaller than the sum of its proper divisors (79358496).

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

26130720 is a wasteful number, since it uses less digits than its factorization.

26130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 26130720 is about 5111.8215931310. The cubic root of 26130720 is about 296.7452610573.

Adding to 26130720 its reverse (2703162), we get a palindrome (28833882).

The spelling of 26130720 in words is "twenty-six million, one hundred thirty thousand, seven hundred twenty".