25238080 has 112 divisors (see below), whose sum is σ = 72420480. Its totient is φ = 8183808.

The previous prime is 25238077. The next prime is 25238089. The reversal of 25238080 is 8083252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25238089) 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 15 ways as a sum of consecutive naturals, for example, 42264 + ... + 42856.

Almost surely, 2^25238080 is an apocalyptic number.

25238080 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 25238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210240).

25238080 is an abundant number, since it is smaller than the sum of its proper divisors (47182400).

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

25238080 is a wasteful number, since it uses less digits than its factorization.

25238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 25238080 is about 5023.7515862152. The cubic root of 25238080 is about 293.3270430240.

The spelling of 25238080 in words is "twenty-five million, two hundred thirty-eight thousand, eighty".