576164064 has 96 divisors (see below), whose sum is σ = 1750533120. Its totient is φ = 162519552.

The previous prime is 576164041. The next prime is 576164131. The reversal of 576164064 is 460461675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47662 + ... + 58514.

It is an arithmetic number, because the mean of its divisors is an integer number (18234720).

Almost surely, 2^576164064 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 576164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875266560).

576164064 is an abundant number, since it is smaller than the sum of its proper divisors (1174369056).

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

576164064 is a wasteful number, since it uses less digits than its factorization.

576164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 576164064 is about 24003.4177566446. The cubic root of 576164064 is about 832.1125186828.

The spelling of 576164064 in words is "five hundred seventy-six million, one hundred sixty-four thousand, sixty-four".