25600040 has 48 divisors (see below), whose sum is σ = 59733180. Its totient is φ = 9873920.

The previous prime is 25600033. The next prime is 25600051. The reversal of 25600040 is 4000652.

It can be written as a sum of positive squares in 6 ways, for example, as 3378244 + 22221796 = 1838^2 + 4714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25599991 and 25600018.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33260 + ... + 34020.

Almost surely, 2^25600040 is an apocalyptic number.

25600040 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 25600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29866590).

25600040 is an abundant number, since it is smaller than the sum of its proper divisors (34133140).

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

25600040 is a wasteful number, since it uses less digits than its factorization.

25600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 25600040 is about 5059.6482091149. The cubic root of 25600040 is about 294.7226733925.

Adding to 25600040 its reverse (4000652), we get a palindrome (29600692).

It can be divided in two parts, 256000 and 40, that multiplied together give a square (10240000 = 3200²).

The spelling of 25600040 in words is "twenty-five million, six hundred thousand, forty".