578610648 has 256 divisors, whose sum is σ = 2110464000. Its totient is φ = 142300800.

The previous prime is 578610611. The next prime is 578610677. The reversal of 578610648 is 846016875.

It is a happy number.

578610648 is a `hidden beast` number, since 578 + 6 + 10 + 64 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315093 + ... + 316923.

It is an arithmetic number, because the mean of its divisors is an integer number (8244000).

Almost surely, 2^578610648 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 578610648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055232000).

578610648 is an abundant number, since it is smaller than the sum of its proper divisors (1531853352).

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

578610648 is a wasteful number, since it uses less digits than its factorization.

578610648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

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

The square root of 578610648 is about 24054.3270119952. The cubic root of 578610648 is about 833.2886642012.

The spelling of 578610648 in words is "five hundred seventy-eight million, six hundred ten thousand, six hundred forty-eight".