25866720 has 288 divisors, whose sum is σ = 101896704. Its totient is φ = 5913600.

The previous prime is 25866713. The next prime is 25866727. The reversal of 25866720 is 2766852.

25866720 is a `hidden beast` number, since 2 + 586 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25866713) and next prime (25866727).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (25866727) 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 47 ways as a sum of consecutive naturals, for example, 364285 + ... + 364355.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^25866720 is an apocalyptic number.

25866720 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 25866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

25866720 is an abundant number, since it is smaller than the sum of its proper divisors (76029984).

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

25866720 is a wasteful number, since it uses less digits than its factorization.

25866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 25866720 is about 5085.9335426252. The cubic root of 25866720 is about 295.7425323835.

The spelling of 25866720 in words is "twenty-five million, eight hundred sixty-six thousand, seven hundred twenty".