26025120 has 288 divisors, whose sum is σ = 101896704. Its totient is φ = 5990400.

The previous prime is 26025107. The next prime is 26025127. The reversal of 26025120 is 2152062.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 26025093 and 26025102.

It is not an unprimeable number, because it can be changed into a prime (26025127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491014 + ... + 491066.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^26025120 is an apocalyptic number.

26025120 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 26025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

26025120 is an abundant number, since it is smaller than the sum of its proper divisors (75871584).

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

26025120 is a wasteful number, since it uses less digits than its factorization.

26025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 26025120 is about 5101.4821375753. The cubic root of 26025120 is about 296.3449836968.

Adding to 26025120 its reverse (2152062), we get a palindrome (28177182).

The spelling of 26025120 in words is "twenty-six million, twenty-five thousand, one hundred twenty".