25827120 has 160 divisors (see below), whose sum is σ = 97136640. Its totient is φ = 6255360.

The previous prime is 25827119. The next prime is 25827121. The reversal of 25827120 is 2172852.

It is an interprime number because it is at equal distance from previous prime (25827119) and next prime (25827121).

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

It is not an unprimeable number, because it can be changed into a prime (25827121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23217 + ... + 24303.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 2^25827120 is an apocalyptic number.

25827120 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 25827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

25827120 is an abundant number, since it is smaller than the sum of its proper divisors (71309520).

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

25827120 is a wasteful number, since it uses less digits than its factorization.

25827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

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

The square root of 25827120 is about 5082.0389608896. The cubic root of 25827120 is about 295.5915354551.

Adding to 25827120 its reverse (2172852), we get a palindrome (27999972).

The spelling of 25827120 in words is "twenty-five million, eight hundred twenty-seven thousand, one hundred twenty".