64517652 has 72 divisors (see below), whose sum is σ = 176432256. Its totient is φ = 19801344.

The previous prime is 64517633. The next prime is 64517653. The reversal of 64517652 is 25671546.

It is a happy number.

64517652 is a `hidden beast` number, since 645 + 1 + 7 + 6 + 5 + 2 = 666.

64517652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64517653) 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 23 ways as a sum of consecutive naturals, for example, 27643 + ... + 29885.

It is an arithmetic number, because the mean of its divisors is an integer number (2450448).

Almost surely, 2^64517652 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 64517652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128).

64517652 is an abundant number, since it is smaller than the sum of its proper divisors (111914604).

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

64517652 is a wasteful number, since it uses less digits than its factorization.

64517652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2312 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 64517652 is about 8032.2880924429. The cubic root of 64517652 is about 401.0755470708.

The spelling of 64517652 in words is "sixty-four million, five hundred seventeen thousand, six hundred fifty-two".