577631120 has 160 divisors (see below), whose sum is σ = 1517152896. Its totient is φ = 202752000.

The previous prime is 577631111. The next prime is 577631129. The reversal of 577631120 is 21136775.

577631120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (577631111) and next prime (577631129).

It is not an unprimeable number, because it can be changed into a prime (577631129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719070 + ... + 5719170.

Almost surely, 2^577631120 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 577631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758576448).

577631120 is an abundant number, since it is smaller than the sum of its proper divisors (939521776).

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

577631120 is a wasteful number, since it uses less digits than its factorization.

577631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 577631120 is about 24033.9576433013. The cubic root of 577631120 is about 832.8181747551.

Adding to 577631120 its reverse (21136775), we get a palindrome (598767895).

The spelling of 577631120 in words is "five hundred seventy-seven million, six hundred thirty-one thousand, one hundred twenty".