25696800 has 216 divisors, whose sum is σ = 93837744. Its totient is φ = 6612480.

The previous prime is 25696793. The next prime is 25696807. The reversal of 25696800 is 869652.

It is an interprime number because it is at equal distance from previous prime (25696793) and next prime (25696807).

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

It is not an unprimeable number, because it can be changed into a prime (25696807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309559 + ... + 309641.

It is an arithmetic number, because the mean of its divisors is an integer number (434434).

Almost surely, 2^25696800 is an apocalyptic number.

25696800 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 25696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

25696800 is an abundant number, since it is smaller than the sum of its proper divisors (68140944).

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

25696800 is a wasteful number, since it uses less digits than its factorization.

25696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 25696800 is about 5069.2011204923. The cubic root of 25696800 is about 295.0935258375.

The spelling of 25696800 in words is "twenty-five million, six hundred ninety-six thousand, eight hundred".