65364032 has 28 divisors (see below), whose sum is σ = 131056380. Its totient is φ = 32342016.

The previous prime is 65364023. The next prime is 65364037. The reversal of 65364032 is 23046356.

It can be written as a sum of positive squares in 2 ways, for example, as 41783296 + 23580736 = 6464^2 + 4856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65363986 and 65364004.

It is not an unprimeable number, because it can be changed into a prime (65364037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944 + ... + 11472.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2^65364032 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 65364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65528190).

65364032 is an abundant number, since it is smaller than the sum of its proper divisors (65692348).

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

65364032 is a wasteful number, since it uses less digits than its factorization.

65364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 65364032 is about 8084.8025331482. The cubic root of 65364032 is about 402.8217804127.

The spelling of 65364032 in words is "sixty-five million, three hundred sixty-four thousand, thirty-two".