25616000 has 64 divisors (see below), whose sum is σ = 63727560. Its totient is φ = 10240000.

The previous prime is 25615999. The next prime is 25616011. The reversal of 25616000 is 61652.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 8904256 = 4088^2 + 2984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15200 + ... + 16800.

Almost surely, 2^25616000 is an apocalyptic number.

25616000 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 25616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31863780).

25616000 is an abundant number, since it is smaller than the sum of its proper divisors (38111560).

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

25616000 is an equidigital number, since it uses as much as digits as its factorization.

25616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 25616000 is about 5061.2251481237. The cubic root of 25616000 is about 294.7839076289.

25616000 divided by its sum of digits (20) gives a triangular number (1280800 = T₁₆₀₀).

Adding to 25616000 its reverse (61652), we get a palindrome (25677652).

It can be divided in two parts, 256 and 16000, that multiplied together give a cube (4096000 = 160³).

The spelling of 25616000 in words is "twenty-five million, six hundred sixteen thousand".