64353536 has 72 divisors (see below), whose sum is σ = 141048264. Its totient is φ = 29122560.

The previous prime is 64353529. The next prime is 64353539. The reversal of 64353536 is 63535346.

64353536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 55591936 = 2960^2 + 7456^2 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 64353496 and 64353505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64353539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202850 + ... + 203166.

Almost surely, 2^64353536 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 64353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70524132).

64353536 is an abundant number, since it is smaller than the sum of its proper divisors (76694728).

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

64353536 is a wasteful number, since it uses less digits than its factorization.

64353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its digits is 97200, while the sum is 35.

The square root of 64353536 is about 8022.0655694154. The cubic root of 64353536 is about 400.7351812767.

The spelling of 64353536 in words is "sixty-four million, three hundred fifty-three thousand, five hundred thirty-six".