26221120 has 56 divisors (see below), whose sum is σ = 63422784. Its totient is φ = 10323456.

The previous prime is 26221109. The next prime is 26221141. The reversal of 26221120 is 2112262.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 26221094 and 26221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20829 + ... + 22051.

Almost surely, 2^26221120 is an apocalyptic number.

26221120 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 26221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711392).

26221120 is an abundant number, since it is smaller than the sum of its proper divisors (37201664).

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

26221120 is a wasteful number, since it uses less digits than its factorization.

26221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 26221120 is about 5120.6562079484. The cubic root of 26221120 is about 297.0870668714.

Adding to 26221120 its reverse (2112262), we get a palindrome (28333382).

The spelling of 26221120 in words is "twenty-six million, two hundred twenty-one thousand, one hundred twenty".