25838720 has 64 divisors (see below), whose sum is σ = 63158400. Its totient is φ = 10103808.

The previous prime is 25838713. The next prime is 25838723. The reversal of 25838720 is 2783852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (25838723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29651 + ... + 30509.

It is an arithmetic number, because the mean of its divisors is an integer number (986850).

Almost surely, 2^25838720 is an apocalyptic number.

25838720 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 25838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31579200).

25838720 is an abundant number, since it is smaller than the sum of its proper divisors (37319680).

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

25838720 is an equidigital number, since it uses as much as digits as its factorization.

25838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 25838720 is about 5083.1801069803. The cubic root of 25838720 is about 295.6357828534.

The spelling of 25838720 in words is "twenty-five million, eight hundred thirty-eight thousand, seven hundred twenty".