25088000 has 156 divisors (see below), whose sum is σ = 72834372. Its totient is φ = 8601600.

The previous prime is 25087991. The next prime is 25088017. The reversal of 25088000 is 88052.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 24285184 = 896^2 + 4928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3583997 + ... + 3584003.

It is an arithmetic number, because the mean of its divisors is an integer number (466887).

Almost surely, 2^25088000 is an apocalyptic number.

25088000 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 25088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36417186).

25088000 is an abundant number, since it is smaller than the sum of its proper divisors (47746372).

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

25088000 is an frugal number, since it uses more digits than its factorization.

25088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 25088000 is about 5008.7922695995. The cubic root of 25088000 is about 292.7444568018.

The spelling of 25088000 in words is "twenty-five million, eighty-eight thousand".