25632120 has 128 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 6336000.

The previous prime is 25632109. The next prime is 25632151. The reversal of 25632120 is 2123652.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101995 + ... + 102245.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^25632120 is an apocalyptic number.

25632120 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 25632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

25632120 is an abundant number, since it is smaller than the sum of its proper divisors (57104520).

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

25632120 is a wasteful number, since it uses less digits than its factorization.

25632120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 25632120 is about 5062.8173974577. The cubic root of 25632120 is about 294.8457299294.

Adding to 25632120 its reverse (2123652), we get a palindrome (27755772).

It can be divided in two parts, 25632 and 120, that added together give a palindrome (25752).

The spelling of 25632120 in words is "twenty-five million, six hundred thirty-two thousand, one hundred twenty".