25724560 has 40 divisors (see below), whose sum is σ = 60498360. Its totient is φ = 10171392.

The previous prime is 25724549. The next prime is 25724593. The reversal of 25724560 is 6542752.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 24443136 = 1132^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5314 + ... + 8926.

It is an arithmetic number, because the mean of its divisors is an integer number (1512459).

Almost surely, 2^25724560 is an apocalyptic number.

25724560 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 25724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249180).

25724560 is an abundant number, since it is smaller than the sum of its proper divisors (34773800).

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

25724560 is a wasteful number, since it uses less digits than its factorization.

25724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 25724560 is about 5071.9384854314. The cubic root of 25724560 is about 295.1997498058.

The spelling of 25724560 in words is "twenty-five million, seven hundred twenty-four thousand, five hundred sixty".