25650000 has 240 divisors, whose sum is σ = 96868800. Its totient is φ = 6480000.

The previous prime is 25649993. The next prime is 25650011. The reversal of 25650000 is 5652.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1349991 + ... + 1350009.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^25650000 is an apocalyptic number.

25650000 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 25650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

25650000 is an abundant number, since it is smaller than the sum of its proper divisors (71218800).

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

25650000 is an equidigital number, since it uses as much as digits as its factorization.

25650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 25650000 is about 5064.5829048402. The cubic root of 25650000 is about 294.9142717475.

Adding to 25650000 its reverse (5652), we get a palindrome (25655652).

The spelling of 25650000 in words is "twenty-five million, six hundred fifty thousand".