675584064 has 175 divisors, whose sum is σ = 2113899887. Its totient is φ = 213342336.

The previous prime is 675584059. The next prime is 675584093. The reversal of 675584064 is 460485576.

The square root of 675584064 is 25992.

It is a perfect power (a square), and thus also a powerful number.

675584064 is a `hidden beast` number, since 6 + 7 + 5 + 584 + 0 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=114.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 35557047 + ... + 35557065.

Almost surely, 2^675584064 is an apocalyptic number.

675584064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

675584064 is the 25992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675584064

675584064 is an abundant number, since it is smaller than the sum of its proper divisors (1438315823).

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

675584064 is an frugal number, since it uses more digits than its factorization.

675584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The cubic root of 675584064 is about 877.4582579311.

The spelling of 675584064 in words is "six hundred seventy-five million, five hundred eighty-four thousand, sixty-four".