26013120 has 224 divisors, whose sum is σ = 97536000. Its totient is φ = 5870592.

The previous prime is 26013103. The next prime is 26013121. The reversal of 26013120 is 2131062.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 26013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26013121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329241 + ... + 329319.

Almost surely, 2^26013120 is an apocalyptic number.

26013120 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 26013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768000).

26013120 is an abundant number, since it is smaller than the sum of its proper divisors (71522880).

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

26013120 is an equidigital number, since it uses as much as digits as its factorization.

26013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 26013120 is about 5100.3058731805. The cubic root of 26013120 is about 296.2994291644.

Adding to 26013120 its reverse (2131062), we get a palindrome (28144182).

The spelling of 26013120 in words is "twenty-six million, thirteen thousand, one hundred twenty".