25584820 has 36 divisors (see below), whose sum is σ = 55142892. Its totient is φ = 9971200.

The previous prime is 25584799. The next prime is 25584829. The reversal of 25584820 is 2848552.

25584820 = 1299² + 1300² + ... + 1313².

It can be written as a sum of positive squares in 6 ways, for example, as 18164644 + 7420176 = 4262^2 + 2724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25584829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33240 + ... + 34000.

It is an arithmetic number, because the mean of its divisors is an integer number (1531747).

Almost surely, 2^25584820 is an apocalyptic number.

25584820 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 25584820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27571446).

25584820 is an abundant number, since it is smaller than the sum of its proper divisors (29558072).

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

25584820 is a wasteful number, since it uses less digits than its factorization.

25584820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 25584820 is about 5058.1439283595. The cubic root of 25584820 is about 294.6642546251.

The spelling of 25584820 in words is "twenty-five million, five hundred eighty-four thousand, eight hundred twenty".