26181120 has 160 divisors (see below), whose sum is σ = 95851008. Its totient is φ = 5971968.

The previous prime is 26181101. The next prime is 26181131. The reversal of 26181120 is 2118162.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53517 + ... + 54003.

Almost surely, 2^26181120 is an apocalyptic number.

26181120 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 26181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47925504).

26181120 is an abundant number, since it is smaller than the sum of its proper divisors (69669888).

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

26181120 is an equidigital number, since it uses as much as digits as its factorization.

26181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 26181120 is about 5116.7489678506. The cubic root of 26181120 is about 296.9359224186.

Adding to 26181120 its reverse (2118162), we get a palindrome (28299282).

The spelling of 26181120 in words is "twenty-six million, one hundred eighty-one thousand, one hundred twenty".