25854080 has 128 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 8515584.

The previous prime is 25854077. The next prime is 25854091. The reversal of 25854080 is 8045852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129821 + ... + 130019.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^25854080 is an apocalyptic number.

25854080 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 25854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

25854080 is an abundant number, since it is smaller than the sum of its proper divisors (47585920).

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

25854080 is a wasteful number, since it uses less digits than its factorization.

25854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 25854080 is about 5084.6907477250. The cubic root of 25854080 is about 295.6943521391.

The spelling of 25854080 in words is "twenty-five million, eight hundred fifty-four thousand, eighty".