65003600 has 60 divisors (see below), whose sum is σ = 157815420. Its totient is φ = 25728000.

The previous prime is 65003557. The next prime is 65003611. The reversal of 65003600 is 630056.

It can be written as a sum of positive squares in 6 ways, for example, as 13278736 + 51724864 = 3644^2 + 7192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39596 + ... + 41204.

It is an arithmetic number, because the mean of its divisors is an integer number (2630257).

Almost surely, 2^65003600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78907710).

65003600 is an abundant number, since it is smaller than the sum of its proper divisors (92811820).

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

65003600 is a wasteful number, since it uses less digits than its factorization.

65003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 65003600 is about 8062.4810077296. The cubic root of 65003600 is about 402.0799986002.

Adding to 65003600 its reverse (630056), we get a palindrome (65633656).

The spelling of 65003600 in words is "sixty-five million, three thousand, six hundred".