64288512 has 144 divisors (see below), whose sum is σ = 194261760. Its totient is φ = 20966400.

The previous prime is 64288501. The next prime is 64288531. The reversal of 64288512 is 21588246.

64288512 is a `hidden beast` number, since 64 + 2 + 88 + 512 = 666.

64288512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 490687 + ... + 490817.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^64288512 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 64288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

64288512 is an abundant number, since it is smaller than the sum of its proper divisors (129973248).

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

64288512 is a wasteful number, since it uses less digits than its factorization.

64288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 64288512 is about 8018.0117236133. The cubic root of 64288512 is about 400.6001657191.

The spelling of 64288512 in words is "sixty-four million, two hundred eighty-eight thousand, five hundred twelve".