25627840 has 112 divisors (see below), whose sum is σ = 73956672. Its totient is φ = 8257536.

The previous prime is 25627813. The next prime is 25627843. The reversal of 25627840 is 4872652.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25627796 and 25627805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25627843) 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, 37744 + ... + 38416.

Almost surely, 2^25627840 is an apocalyptic number.

25627840 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 25627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36978336).

25627840 is an abundant number, since it is smaller than the sum of its proper divisors (48328832).

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

25627840 is a wasteful number, since it uses less digits than its factorization.

25627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 25627840 is about 5062.3946902627. The cubic root of 25627840 is about 294.8293180997.

The spelling of 25627840 in words is "twenty-five million, six hundred twenty-seven thousand, eight hundred forty".