25653740 has 96 divisors (see below), whose sum is σ = 66576384. Its totient is φ = 8110080.

The previous prime is 25653739. The next prime is 25653751. The reversal of 25653740 is 4735652.

It is a super-5 number, since 5×25653740⁵ (a number of 38 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 25653697 and 25653706.

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, 99692 + ... + 99948.

It is an arithmetic number, because the mean of its divisors is an integer number (693504).

Almost surely, 2^25653740 is an apocalyptic number.

25653740 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 25653740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288192).

25653740 is an abundant number, since it is smaller than the sum of its proper divisors (40922644).

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

25653740 is a wasteful number, since it uses less digits than its factorization.

25653740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

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

The square root of 25653740 is about 5064.9521221824. The cubic root of 25653740 is about 294.9286047660.

The spelling of 25653740 in words is "twenty-five million, six hundred fifty-three thousand, seven hundred forty".