25328160 has 384 divisors, whose sum is σ = 106686720. Its totient is φ = 5529600.

The previous prime is 25328141. The next prime is 25328167. The reversal of 25328160 is 6182352.

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 (25328167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617740 + ... + 617780.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^25328160 is an apocalyptic number.

25328160 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 25328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

25328160 is an abundant number, since it is smaller than the sum of its proper divisors (81358560).

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

25328160 is a wasteful number, since it uses less digits than its factorization.

25328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 25328160 is about 5032.7090120531. The cubic root of 25328160 is about 293.6756105581.

The spelling of 25328160 in words is "twenty-five million, three hundred twenty-eight thousand, one hundred sixty".