25763540 has 48 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 9302400.

The previous prime is 25763501. The next prime is 25763561. The reversal of 25763540 is 4536752.

It is a junction number, because it is equal to n+sod(n) for n = 25763497 and 25763506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39497 + ... + 40143.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^25763540 is an apocalyptic number.

25763540 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 25763540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

25763540 is an abundant number, since it is smaller than the sum of its proper divisors (33676204).

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

25763540 is a wasteful number, since it uses less digits than its factorization.

25763540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 25763540 is about 5075.7797430543. The cubic root of 25763540 is about 295.3487783226.

It can be divided in two parts, 2576 and 3540, that added together give a palindrome (6116).

The spelling of 25763540 in words is "twenty-five million, seven hundred sixty-three thousand, five hundred forty".