64105632 has 144 divisors (see below), whose sum is σ = 191940840. Its totient is φ = 20275200.

The previous prime is 64105627. The next prime is 64105637. The reversal of 64105632 is 23650146.

It is an interprime number because it is at equal distance from previous prime (64105627) and next prime (64105637).

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 53056656 = 3324^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 64105596 and 64105605.

It is not an unprimeable number, because it can be changed into a prime (64105637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720244 + ... + 720332.

Almost surely, 2^64105632 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 64105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95970420).

64105632 is an abundant number, since it is smaller than the sum of its proper divisors (127835208).

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

64105632 is a wasteful number, since it uses less digits than its factorization.

64105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64105632 is about 8006.5992780955. The cubic root of 64105632 is about 400.2199457042.

Adding to 64105632 its reverse (23650146), we get a palindrome (87755778).

The spelling of 64105632 in words is "sixty-four million, one hundred five thousand, six hundred thirty-two".