64384128 has 48 divisors (see below), whose sum is σ = 185275350. Its totient is φ = 21460992.

The previous prime is 64384093. The next prime is 64384129. The reversal of 64384128 is 82148346.

64384128 is a `hidden beast` number, since 643 + 8 + 4 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 21455424 = 6552^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64384092 and 64384101.

It is not an unprimeable number, because it can be changed into a prime (64384129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26793 + ... + 29096.

Almost surely, 2^64384128 is an apocalyptic number.

It is an amenable number.

64384128 is an abundant number, since it is smaller than the sum of its proper divisors (120891222).

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

64384128 is a wasteful number, since it uses less digits than its factorization.

64384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55909 (or 55894 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 64384128 is about 8023.9720837002. The cubic root of 64384128 is about 400.7986709172.

The spelling of 64384128 in words is "sixty-four million, three hundred eighty-four thousand, one hundred twenty-eight".