577664 has 16 divisors (see below), whose sum is σ = 1151070. Its totient is φ = 288768.

The previous prime is 577639. The next prime is 577667. The reversal of 577664 is 466775.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 64 = 760^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (577667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2129 + ... + 2384.

2⁵⁷⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

577664 is a deficient number, since it is larger than the sum of its proper divisors (573406).

577664 is an equidigital number, since it uses as much as digits as its factorization.

577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4515 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 577664 is about 760.0421040969. The cubic root of 577664 is about 83.2833976386.

Subtracting from 577664 its reverse (466775), we obtain a square (110889 = 333²).

It can be divided in two parts, 5776 and 64, that multiplied together give a square (369664 = 608²).

The spelling of 577664 in words is "five hundred seventy-seven thousand, six hundred sixty-four".