25681600 has 84 divisors (see below), whose sum is σ = 72251824. Its totient is φ = 8801280.

The previous prime is 25681583. The next prime is 25681603. The reversal of 25681600 is 618652.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25681603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10054 + ... + 12346.

Almost surely, 2^25681600 is an apocalyptic number.

25681600 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 25681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36125912).

25681600 is an abundant number, since it is smaller than the sum of its proper divisors (46570224).

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

25681600 is a wasteful number, since it uses less digits than its factorization.

25681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 25681600 is about 5067.7016486766. The cubic root of 25681600 is about 295.0353304425.

The spelling of 25681600 in words is "twenty-five million, six hundred eighty-one thousand, six hundred".