25601040 has 180 divisors, whose sum is σ = 91240812. Its totient is φ = 6428160.

The previous prime is 25601033. The next prime is 25601083. The reversal of 25601040 is 4010652.

It is a happy number.

25601040 is a `hidden beast` number, since 2 + 560 + 104 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16744464 + 8856576 = 4092^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691902 + ... + 691938.

Almost surely, 2^25601040 is an apocalyptic number.

25601040 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 25601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45620406).

25601040 is an abundant number, since it is smaller than the sum of its proper divisors (65639772).

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

25601040 is a wasteful number, since it uses less digits than its factorization.

25601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25601040 is about 5059.7470292496. The cubic root of 25601040 is about 294.7265108713.

Adding to 25601040 its reverse (4010652), we get a palindrome (29611692).

It can be divided in two parts, 2560 and 1040, that added together give a square (3600 = 60²).

The spelling of 25601040 in words is "twenty-five million, six hundred one thousand, forty".