577008960 has 224 divisors, whose sum is σ = 2022067584. Its totient is φ = 138240000.

The previous prime is 577008953. The next prime is 577008973. The reversal of 577008960 is 69800775.

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, 1066290 + ... + 1066830.

Almost surely, 2^577008960 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 577008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011033792).

577008960 is an abundant number, since it is smaller than the sum of its proper divisors (1445058624).

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

577008960 is a wasteful number, since it uses less digits than its factorization.

577008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 577008960 is about 24021.0108030449. The cubic root of 577008960 is about 832.5190609673.

The spelling of 577008960 in words is "five hundred seventy-seven million, eight thousand, nine hundred sixty".