25830080 has 56 divisors (see below), whose sum is σ = 62709552. Its totient is φ = 10130432.

The previous prime is 25830071. The next prime is 25830083. The reversal of 25830080 is 8003852.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25830083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16199 + ... + 17721.

Almost surely, 2^25830080 is an apocalyptic number.

25830080 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 25830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31354776).

25830080 is an abundant number, since it is smaller than the sum of its proper divisors (36879472).

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

25830080 is a wasteful number, since it uses less digits than its factorization.

25830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 25830080 is about 5082.3301742409. The cubic root of 25830080 is about 295.6028274294.

The spelling of 25830080 in words is "twenty-five million, eight hundred thirty thousand, eighty".