25755840 has 224 divisors, whose sum is σ = 99486720. Its totient is φ = 6220800.

The previous prime is 25755803. The next prime is 25755841. The reversal of 25755840 is 4855752.

It is a happy number.

25755840 is a `hidden beast` number, since 2 + 5 + 75 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 25755795 and 25755804.

It is not an unprimeable number, because it can be changed into a prime (25755841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94905 + ... + 95175.

Almost surely, 2^25755840 is an apocalyptic number.

25755840 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 25755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

25755840 is an abundant number, since it is smaller than the sum of its proper divisors (73730880).

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

25755840 is a wasteful number, since it uses less digits than its factorization.

25755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 25755840 is about 5075.0211822218. The cubic root of 25755840 is about 295.3193515669.

The spelling of 25755840 in words is "twenty-five million, seven hundred fifty-five thousand, eight hundred forty".