577605056 has 112 divisors (see below), whose sum is σ = 1399032000. Its totient is φ = 230965248.

The previous prime is 577605029. The next prime is 577605059. The reversal of 577605056 is 650506775.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577605059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134530 + ... + 1135038.

Almost surely, 2^577605056 is an apocalyptic number.

577605056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699516000).

577605056 is an abundant number, since it is smaller than the sum of its proper divisors (821426944).

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

577605056 is a wasteful number, since it uses less digits than its factorization.

577605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The square root of 577605056 is about 24033.4154043906. The cubic root of 577605056 is about 832.8056483644.

The spelling of 577605056 in words is "five hundred seventy-seven million, six hundred five thousand, fifty-six".