25530120 has 256 divisors, whose sum is σ = 106444800. Its totient is φ = 5287680.

The previous prime is 25530083. The next prime is 25530133. The reversal of 25530120 is 2103552.

It is a happy number.

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 = 25530093 and 25530102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83007 + ... + 83313.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^25530120 is an apocalyptic number.

25530120 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 25530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

25530120 is an abundant number, since it is smaller than the sum of its proper divisors (80914680).

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

25530120 is a wasteful number, since it uses less digits than its factorization.

25530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 25530120 is about 5052.7339134374. The cubic root of 25530120 is about 294.4541087238.

Adding to 25530120 its reverse (2103552), we get a palindrome (27633672).

The spelling of 25530120 in words is "twenty-five million, five hundred thirty thousand, one hundred twenty".