578083968 has 480 divisors, whose sum is σ = 2228475600. Its totient is φ = 142248960.

The previous prime is 578083943. The next prime is 578083981. The reversal of 578083968 is 869380875.

It is a happy number.

578083968 is a `hidden beast` number, since 578 + 0 + 8 + 3 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30425463 + ... + 30425481.

Almost surely, 2^578083968 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 578083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114237800).

578083968 is an abundant number, since it is smaller than the sum of its proper divisors (1650391632).

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

578083968 is a wasteful number, since it uses less digits than its factorization.

578083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 578083968 is about 24043.3768011068. The cubic root of 578083968 is about 833.0357539440.

It can be divided in two parts, 57808 and 3968, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 578083968 in words is "five hundred seventy-eight million, eighty-three thousand, nine hundred sixty-eight".