64128064 has 189 divisors, whose sum is σ = 176190021. Its totient is φ = 23063040.

The previous prime is 64128049. The next prime is 64128073. The reversal of 64128064 is 46082146.

The square root of 64128064 is 8008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 54641664 = 3080^2 + 7392^2 .

It is a super-2 number, since 2×64128064² = 8224817184776192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4932922 + ... + 4932934.

Almost surely, 2^64128064 is an apocalyptic number.

64128064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64128064 is the 8008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64128064

64128064 is an abundant number, since it is smaller than the sum of its proper divisors (112061957).

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

64128064 is a wasteful number, since it uses less digits than its factorization.

64128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

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

The cubic root of 64128064 is about 400.2666222420.

Multiplying 64128064 by its product of nonzero digits (9216), we get a square (591004237824 = 768768²).

The spelling of 64128064 in words is "sixty-four million, one hundred twenty-eight thousand, sixty-four".