64318144 has 56 divisors (see below), whose sum is σ = 140744448. Its totient is φ = 28919040.

The previous prime is 64318127. The next prime is 64318147. The reversal of 64318144 is 44181346.

64318144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64318147) 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 7 ways as a sum of consecutive naturals, for example, 72069 + ... + 72955.

Almost surely, 2^64318144 is an apocalyptic number.

64318144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70372224).

64318144 is an abundant number, since it is smaller than the sum of its proper divisors (76426304).

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

64318144 is a wasteful number, since it uses less digits than its factorization.

64318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1003 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 64318144 is about 8019.8593503876. The cubic root of 64318144 is about 400.6617047634.

The spelling of 64318144 in words is "sixty-four million, three hundred eighteen thousand, one hundred forty-four".