25761940 has 48 divisors (see below), whose sum is σ = 56201040. Its totient is φ = 9912320.

The previous prime is 25761913. The next prime is 25761941. The reversal of 25761940 is 4916752.

It can be written as a sum of positive squares in 8 ways, for example, as 7409284 + 18352656 = 2722^2 + 4284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25761896 and 25761905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25761941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72804 + ... + 73156.

It is an arithmetic number, because the mean of its divisors is an integer number (1170855).

Almost surely, 2^25761940 is an apocalyptic number.

25761940 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 25761940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28100520).

25761940 is an abundant number, since it is smaller than the sum of its proper divisors (30439100).

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

25761940 is a wasteful number, since it uses less digits than its factorization.

25761940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 25761940 is about 5075.6221293552. The cubic root of 25761940 is about 295.3426641547.

The spelling of 25761940 in words is "twenty-five million, seven hundred sixty-one thousand, nine hundred forty".