64036032 has 56 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 21224448.

The previous prime is 64036003. The next prime is 64036033. The reversal of 64036032 is 23063046.

It is a super-2 number, since 2×64036032² = 8201226788610048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64035993 and 64036011.

It is not an unprimeable number, because it can be changed into a prime (64036033) 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 7 ways as a sum of consecutive naturals, for example, 36978 + ... + 38670.

It is an arithmetic number, because the mean of its divisors is an integer number (3042666).

Almost surely, 2^64036032 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 64036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

64036032 is an abundant number, since it is smaller than the sum of its proper divisors (106353264).

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

64036032 is a wasteful number, since it uses less digits than its factorization.

64036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 64036032 is about 8002.2516831202. The cubic root of 64036032 is about 400.0750525836.

Adding to 64036032 its reverse (23063046), we get a palindrome (87099078).

The spelling of 64036032 in words is "sixty-four million, thirty-six thousand, thirty-two", and thus it is an eban number.