25800840 has 192 divisors, whose sum is σ = 93366000. Its totient is φ = 6137856.

The previous prime is 25800839. The next prime is 25800851. The reversal of 25800840 is 4800852.

25800840 is a `hidden beast` number, since 2 + 580 + 0 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6563844 + 19236996 = 2562^2 + 4386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173086 + ... + 173234.

Almost surely, 2^25800840 is an apocalyptic number.

25800840 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 25800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683000).

25800840 is an abundant number, since it is smaller than the sum of its proper divisors (67565160).

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

25800840 is a wasteful number, since it uses less digits than its factorization.

25800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25800840 is about 5079.4527264263. The cubic root of 25800840 is about 295.4912431806.

The spelling of 25800840 in words is "twenty-five million, eight hundred thousand, eight hundred forty".