26601120 has 432 divisors, whose sum is σ = 117641160. Its totient is φ = 5419008.

The previous prime is 26601109. The next prime is 26601139. The reversal of 26601120 is 2110662.

It is a happy number.

26601120 is a `hidden beast` number, since 2 + 660 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 9659664 = 4116^2 + 3108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26601093 and 26601102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917266 + ... + 917294.

Almost surely, 2^26601120 is an apocalyptic number.

26601120 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 26601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

26601120 is an abundant number, since it is smaller than the sum of its proper divisors (91040040).

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

26601120 is a wasteful number, since it uses less digits than its factorization.

26601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 26601120 is about 5157.6273614909. The cubic root of 26601120 is about 298.5153313170.

Adding to 26601120 its reverse (2110662), we get a palindrome (28711782).

The spelling of 26601120 in words is "twenty-six million, six hundred one thousand, one hundred twenty".