64576 has 14 divisors (see below), whose sum is σ = 128270. Its totient is φ = 32256.

The previous prime is 64567. The next prime is 64577. The reversal of 64576 is 67546.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 14400 = 224^2 + 120^2 .

64576 is a modest number, since divided by 576 gives 64 as remainder.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 441 + ... + 568.

2⁶⁴⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

64576 is a deficient number, since it is larger than the sum of its proper divisors (63694).

64576 is a wasteful number, since it uses less digits than its factorization.

64576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1011 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 64576 is about 254.1180827883. The cubic root of 64576 is about 40.1196417893.

Subtracting from 64576 its product of digits (5040), we obtain a square (59536 = 244²).

It can be divided in two parts, 64 and 576, that multiplied together give a square (36864 = 192²).

The spelling of 64576 in words is "sixty-four thousand, five hundred seventy-six".