25984480 has 72 divisors (see below), whose sum is σ = 64382472. Its totient is φ = 9909504.

The previous prime is 25984459. The next prime is 25984481. The reversal of 25984480 is 8448952.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25984481) 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 11 ways as a sum of consecutive naturals, for example, 84487 + ... + 84793.

It is an arithmetic number, because the mean of its divisors is an integer number (894201).

Almost surely, 2^25984480 is an apocalyptic number.

25984480 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 25984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191236).

25984480 is an abundant number, since it is smaller than the sum of its proper divisors (38397992).

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

25984480 is a wasteful number, since it uses less digits than its factorization.

25984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 25984480 is about 5097.4974252078. The cubic root of 25984480 is about 296.1906490325.

The spelling of 25984480 in words is "twenty-five million, nine hundred eighty-four thousand, four hundred eighty".