25880040 has 128 divisors (see below), whose sum is σ = 89164800. Its totient is φ = 6670080.

The previous prime is 25880021. The next prime is 25880053. The reversal of 25880040 is 4008852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25879986 and 25880013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33094 + ... + 33866.

It is an arithmetic number, because the mean of its divisors is an integer number (696600).

Almost surely, 2^25880040 is an apocalyptic number.

25880040 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 25880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582400).

25880040 is an abundant number, since it is smaller than the sum of its proper divisors (63284760).

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

25880040 is a wasteful number, since it uses less digits than its factorization.

25880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25880040 is about 5087.2428681949. The cubic root of 25880040 is about 295.7932876209.

Adding to 25880040 its reverse (4008852), we get a palindrome (29888892).

It can be divided in two parts, 258800 and 40, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 25880040 in words is "twenty-five million, eight hundred eighty thousand, forty".