25216000 has 88 divisors (see below), whose sum is σ = 63227736. Its totient is φ = 10035200.

The previous prime is 25215991. The next prime is 25216001. The reversal of 25216000 is 61252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 24920064 = 544^2 + 4992^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127902 + ... + 128098.

It is an arithmetic number, because the mean of its divisors is an integer number (718497).

Almost surely, 2^25216000 is an apocalyptic number.

25216000 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 25216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31613868).

25216000 is an abundant number, since it is smaller than the sum of its proper divisors (38011736).

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

25216000 is an equidigital number, since it uses as much as digits as its factorization.

25216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 25216000 is about 5021.5535444721. The cubic root of 25216000 is about 293.2414772074.

Adding to 25216000 its reverse (61252), we get a palindrome (25277252).

The spelling of 25216000 in words is "twenty-five million, two hundred sixteen thousand".