25004960 has 96 divisors (see below), whose sum is σ = 64910160. Its totient is φ = 9060352.

The previous prime is 25004953. The next prime is 25004963. The reversal of 25004960 is 6940052.

It can be written as a sum of positive squares in 8 ways, for example, as 7997584 + 17007376 = 2828^2 + 4124^2 .

It is not an unprimeable number, because it can be changed into a prime (25004963) 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 15 ways as a sum of consecutive naturals, for example, 78722 + ... + 79038.

Almost surely, 2^25004960 is an apocalyptic number.

25004960 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 25004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455080).

25004960 is an abundant number, since it is smaller than the sum of its proper divisors (39905200).

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

25004960 is a wasteful number, since it uses less digits than its factorization.

25004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 25004960 is about 5000.4959754008. The cubic root of 25004960 is about 292.4211100465.

The spelling of 25004960 in words is "twenty-five million, four thousand, nine hundred sixty".