26245120 has 96 divisors (see below), whose sum is σ = 68992560. Its totient is φ = 9502720.

The previous prime is 26245111. The next prime is 26245133. The reversal of 26245120 is 2154262.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 26245091 and 26245100.

It is a congruent number.

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, 112524 + ... + 112756.

Almost surely, 2^26245120 is an apocalyptic number.

26245120 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 26245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496280).

26245120 is an abundant number, since it is smaller than the sum of its proper divisors (42747440).

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

26245120 is a wasteful number, since it uses less digits than its factorization.

26245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 26245120 is about 5122.9991216084. Note that the first 3 decimals coincide. The cubic root of 26245120 is about 297.1776797735.

Adding to 26245120 its reverse (2154262), we get a palindrome (28399382).

It can be divided in two parts, 2624 and 5120, that added together give a square (7744 = 88²).

The spelling of 26245120 in words is "twenty-six million, two hundred forty-five thousand, one hundred twenty".