25800120 has 80 divisors (see below), whose sum is σ = 86727960. Its totient is φ = 6879168.

The previous prime is 25800107. The next prime is 25800127. The reversal of 25800120 is 2100852.

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 = 25800093 and 25800102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25800127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 742 + ... + 7221.

Almost surely, 2^25800120 is an apocalyptic number.

25800120 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 25800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43363980).

25800120 is an abundant number, since it is smaller than the sum of its proper divisors (60927840).

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

25800120 is a wasteful number, since it uses less digits than its factorization.

25800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 25800120 is about 5079.3818521548. The cubic root of 25800120 is about 295.4884944888.

Adding to 25800120 its reverse (2100852), we get a palindrome (27900972).

The spelling of 25800120 in words is "twenty-five million, eight hundred thousand, one hundred twenty".