577920096 has 144 divisors (see below), whose sum is σ = 1835752464. Its totient is φ = 177790464.

The previous prime is 577920067. The next prime is 577920097. The reversal of 577920096 is 690029775.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577920097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98230 + ... + 103946.

It is an arithmetic number, because the mean of its divisors is an integer number (12748281).

Almost surely, 2^577920096 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 577920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917876232).

577920096 is an abundant number, since it is smaller than the sum of its proper divisors (1257832368).

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

577920096 is a wasteful number, since it uses less digits than its factorization.

577920096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 577920096 is about 24039.9687187816. The cubic root of 577920096 is about 832.9570317377.

The spelling of 577920096 in words is "five hundred seventy-seven million, nine hundred twenty thousand, ninety-six".