576616320 has 480 divisors, whose sum is σ = 2405949480. Its totient is φ = 131217408.

The previous prime is 576616307. The next prime is 576616321. The reversal of 576616320 is 23616675.

576616320 is a `hidden beast` number, since 5 + 7 + 6 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576616321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540047 + ... + 2540273.

Almost surely, 2^576616320 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 576616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202974740).

576616320 is an abundant number, since it is smaller than the sum of its proper divisors (1829333160).

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

576616320 is a wasteful number, since it uses less digits than its factorization.

576616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 576616320 is about 24012.8365671363. The cubic root of 576616320 is about 832.3301820651.

The spelling of 576616320 in words is "five hundred seventy-six million, six hundred sixteen thousand, three hundred twenty".