25582080 has 80 divisors (see below), whose sum is σ = 81807264. Its totient is φ = 6819840.

The previous prime is 25582079. The next prime is 25582087. The reversal of 25582080 is 8028552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25582087) 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, 6015 + ... + 9345.

Almost surely, 2^25582080 is an apocalyptic number.

25582080 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 25582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903632).

25582080 is an abundant number, since it is smaller than the sum of its proper divisors (56225184).

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

25582080 is an equidigital number, since it uses as much as digits as its factorization.

25582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25582080 is about 5057.8730707680. The cubic root of 25582080 is about 294.6537352510.

The spelling of 25582080 in words is "twenty-five million, five hundred eighty-two thousand, eighty".