578168640 has 504 divisors, whose sum is σ = 2459580552. Its totient is φ = 123863040.

The previous prime is 578168639. The next prime is 578168699. The reversal of 578168640 is 46861875.

It is a happy number.

578168640 is a `hidden beast` number, since 578 + 16 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185177664 + 392990976 = 13608^2 + 19824^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398920 + ... + 2399160.

Almost surely, 2^578168640 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 578168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229790276).

578168640 is an abundant number, since it is smaller than the sum of its proper divisors (1881411912).

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

578168640 is a wasteful number, since it uses less digits than its factorization.

578168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 578168640 is about 24045.1375541917. The cubic root of 578168640 is about 833.0764235605.

The spelling of 578168640 in words is "five hundred seventy-eight million, one hundred sixty-eight thousand, six hundred forty".