64527264 has 72 divisors (see below), whose sum is σ = 186558372. Its totient is φ = 21150720.

The previous prime is 64527227. The next prime is 64527269. The reversal of 64527264 is 46272546.

64527264 is a `hidden beast` number, since 645 + 2 + 7 + 2 + 6 + 4 = 666.

64527264 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 2 ways, for example, as 45968400 + 18558864 = 6780^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (64527269) 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 11 ways as a sum of consecutive naturals, for example, 15732 + ... + 19404.

Almost surely, 2^64527264 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 64527264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93279186).

64527264 is an abundant number, since it is smaller than the sum of its proper divisors (122031108).

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

64527264 is a wasteful number, since it uses less digits than its factorization.

64527264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3739 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 64527264 is about 8032.8864052718. The cubic root of 64527264 is about 401.0954638254.

The spelling of 64527264 in words is "sixty-four million, five hundred twenty-seven thousand, two hundred sixty-four".