65600 has 42 divisors (see below), whose sum is σ = 165354. Its totient is φ = 25600.

The previous prime is 65599. The next prime is 65609. The reversal of 65600 is 656.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 65536 = 8^2 + 256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1580 + ... + 1620.

It is an arithmetic number, because the mean of its divisors is an integer number (3937).

2⁶⁵⁶⁰⁰ 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 65600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82677).

65600 is an abundant number, since it is smaller than the sum of its proper divisors (99754).

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

65600 is a wasteful number, since it uses less digits than its factorization.

65600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 65600 is about 256.1249694973. The cubic root of 65600 is about 40.3305935044.

Multiplying 65600 by its reverse (656), we get a square (43033600 = 6560²).

65600 divided by its reverse (656) gives a square (100 = 10²).

The spelling of 65600 in words is "sixty-five thousand, six hundred".