64075536 has 150 divisors (see below), whose sum is σ = 215945070. Its totient is φ = 18289152.

The previous prime is 64075507. The next prime is 64075549. The reversal of 64075536 is 63557046.

64075536 is a `hidden beast` number, since 640 + 7 + 5 + 5 + 3 + 6 = 666.

64075536 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 only one way, i.e., 49787136 + 14288400 = 7056^2 + 3780^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64075536.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 63000 + ... + 64008.

Almost surely, 2^64075536 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 64075536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107972535).

64075536 is an abundant number, since it is smaller than the sum of its proper divisors (151869534).

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

64075536 is a wasteful number, since it uses less digits than its factorization.

64075536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 64075536 is about 8004.7196078314. The cubic root of 64075536 is about 400.1573047966.

Subtracting from 64075536 its product of nonzero digits (75600), we obtain a palindrome (63999936).

It can be divided in two parts, 640 and 75536, that added together give a square (76176 = 276²).

The spelling of 64075536 in words is "sixty-four million, seventy-five thousand, five hundred thirty-six".