25603968 has 128 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 7501824.

The previous prime is 25603943. The next prime is 25603969. The reversal of 25603968 is 86930652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25603969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114705 + ... + 114927.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 2^25603968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

25603968 is an abundant number, since it is smaller than the sum of its proper divisors (51165312).

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

25603968 is a wasteful number, since it uses less digits than its factorization.

25603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 25603968 is about 5060.0363635057. The cubic root of 25603968 is about 294.7377464347.

The spelling of 25603968 in words is "twenty-five million, six hundred three thousand, nine hundred sixty-eight".