27825120 has 240 divisors, whose sum is σ = 104282640. Its totient is φ = 6967296.

The previous prime is 27825067. The next prime is 27825121. The reversal of 27825120 is 2152872.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27825121) 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 39 ways as a sum of consecutive naturals, for example, 246184 + ... + 246296.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 2^27825120 is an apocalyptic number.

27825120 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 27825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

27825120 is an abundant number, since it is smaller than the sum of its proper divisors (76457520).

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

27825120 is a wasteful number, since it uses less digits than its factorization.

27825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 27825120 is about 5274.9521324842. The cubic root of 27825120 is about 303.0253875405.

Adding to 27825120 its reverse (2152872), we get a palindrome (29977992).

The spelling of 27825120 in words is "twenty-seven million, eight hundred twenty-five thousand, one hundred twenty".