25610040 has 128 divisors (see below), whose sum is σ = 89164800. Its totient is φ = 6526080.

The previous prime is 25610027. The next prime is 25610051. The reversal of 25610040 is 4001652.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 25609995 and 25610022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24325 + ... + 25355.

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

Almost surely, 2^25610040 is an apocalyptic number.

25610040 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 25610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582400).

25610040 is an abundant number, since it is smaller than the sum of its proper divisors (63554760).

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

25610040 is a wasteful number, since it uses less digits than its factorization.

25610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1064 counting only the distinct ones).

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

The square root of 25610040 is about 5060.6363236257. The cubic root of 25610040 is about 294.7610436849.

Adding to 25610040 its reverse (4001652), we get a palindrome (29611692).

It can be divided in two parts, 256 and 10040, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 25610040 in words is "twenty-five million, six hundred ten thousand, forty".