65536576 has 56 divisors (see below), whose sum is σ = 149490176. Its totient is φ = 27924480.

The previous prime is 65536561. The next prime is 65536579. The reversal of 65536576 is 67563556.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (65536579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107665 + ... + 108271.

Almost surely, 2^65536576 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 65536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74745088).

65536576 is an abundant number, since it is smaller than the sum of its proper divisors (83953600).

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

65536576 is a wasteful number, since it uses less digits than its factorization.

65536576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its digits is 567000, while the sum is 43.

The square root of 65536576 is about 8095.4663855766. The cubic root of 65536576 is about 403.1759171389.

It can be divided in two parts, 65536 and 576, that multiplied together give a square (37748736 = 6144²).

The spelling of 65536576 in words is "sixty-five million, five hundred thirty-six thousand, five hundred seventy-six".