25567040 has 56 divisors (see below), whose sum is σ = 61523880. Its totient is φ = 10119168.

The previous prime is 25566977. The next prime is 25567049. The reversal of 25567040 is 4076552.

It can be written as a sum of positive squares in 4 ways, for example, as 11669056 + 13897984 = 3416^2 + 3728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25566994 and 25567012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25567049) 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, 34514 + ... + 35246.

Almost surely, 2^25567040 is an apocalyptic number.

25567040 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 25567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30761940).

25567040 is an abundant number, since it is smaller than the sum of its proper divisors (35956840).

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

25567040 is a wasteful number, since it uses less digits than its factorization.

25567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 25567040 is about 5056.3860612101. The cubic root of 25567040 is about 294.5959804877.

The spelling of 25567040 in words is "twenty-five million, five hundred sixty-seven thousand, forty".