25380960 has 288 divisors, whose sum is σ = 96526080. Its totient is φ = 5575680.

The previous prime is 25380959. The next prime is 25380967. The reversal of 25380960 is 6908352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25380967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103509 + ... + 1103531.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^25380960 is an apocalyptic number.

25380960 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 25380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

25380960 is an abundant number, since it is smaller than the sum of its proper divisors (71145120).

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

25380960 is a wasteful number, since it uses less digits than its factorization.

25380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 25380960 is about 5037.9519648365. The cubic root of 25380960 is about 293.8795378582.

The spelling of 25380960 in words is "twenty-five million, three hundred eighty thousand, nine hundred sixty".