577316064 has 192 divisors, whose sum is σ = 1742549760. Its totient is φ = 165888000.

The previous prime is 577316059. The next prime is 577316081. The reversal of 577316064 is 460613775.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299939 + ... + 2300189.

It is an arithmetic number, because the mean of its divisors is an integer number (9075780).

Almost surely, 2^577316064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871274880).

577316064 is an abundant number, since it is smaller than the sum of its proper divisors (1165233696).

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

577316064 is a wasteful number, since it uses less digits than its factorization.

577316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 577316064 is about 24027.4023564762. The cubic root of 577316064 is about 832.6667331908. Note that the first 3 decimals are identical.

The spelling of 577316064 in words is "five hundred seventy-seven million, three hundred sixteen thousand, sixty-four".