26553120 has 192 divisors, whose sum is σ = 94058496. Its totient is φ = 6241280.

The previous prime is 26553113. The next prime is 26553157. The reversal of 26553120 is 2135562.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248107 + ... + 248213.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 2^26553120 is an apocalyptic number.

26553120 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 26553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47029248).

26553120 is an abundant number, since it is smaller than the sum of its proper divisors (67505376).

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

26553120 is a wasteful number, since it uses less digits than its factorization.

26553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 26553120 is about 5152.9719580064. The cubic root of 26553120 is about 298.3356726788.

Adding to 26553120 its reverse (2135562), we get a palindrome (28688682).

It can be divided in two parts, 2655 and 3120, that added together give a palindrome (5775).

The spelling of 26553120 in words is "twenty-six million, five hundred fifty-three thousand, one hundred twenty".