25380768 has 96 divisors (see below), whose sum is σ = 76930560. Its totient is φ = 7176960.

The previous prime is 25380767. The next prime is 25380769. The reversal of 25380768 is 86708352.

It is an interprime number because it is at equal distance from previous prime (25380767) and next prime (25380769).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25380767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120183 + ... + 120393.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 2^25380768 is an apocalyptic number.

25380768 is a gapful number since it is divisible by the number (28) 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 25380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

25380768 is an abundant number, since it is smaller than the sum of its proper divisors (51549792).

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

25380768 is a wasteful number, since it uses less digits than its factorization.

25380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 25380768 is about 5037.9329094382. The cubic root of 25380768 is about 293.8787968170.

The spelling of 25380768 in words is "twenty-five million, three hundred eighty thousand, seven hundred sixty-eight".