25745760 has 144 divisors (see below), whose sum is σ = 92579760. Its totient is φ = 6497280.

The previous prime is 25745743. The next prime is 25745767. The reversal of 25745760 is 6754752.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25745767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26890 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (642915).

Almost surely, 2^25745760 is an apocalyptic number.

25745760 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 25745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46289880).

25745760 is an abundant number, since it is smaller than the sum of its proper divisors (66834000).

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

25745760 is a wasteful number, since it uses less digits than its factorization.

25745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 25745760 is about 5074.0279857328. The cubic root of 25745760 is about 295.2808204028.

The spelling of 25745760 in words is "twenty-five million, seven hundred forty-five thousand, seven hundred sixty".