25085760 has 112 divisors (see below), whose sum is σ = 91049856. Its totient is φ = 5732352.

The previous prime is 25085759. The next prime is 25085773. The reversal of 25085760 is 6758052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 4854 + ... + 8586.

Almost surely, 2^25085760 is an apocalyptic number.

25085760 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 25085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45524928).

25085760 is an abundant number, since it is smaller than the sum of its proper divisors (65964096).

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

25085760 is a wasteful number, since it uses less digits than its factorization.

25085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 25085760 is about 5008.5686578103. The cubic root of 25085760 is about 292.7357439099.

The spelling of 25085760 in words is "twenty-five million, eighty-five thousand, seven hundred sixty".