556065648 has 240 divisors, whose sum is σ = 1754887680. Its totient is φ = 169786368.

The previous prime is 556065613. The next prime is 556065661. The reversal of 556065648 is 846560655.

It is a happy number.

556065648 is a `hidden beast` number, since 556 + 0 + 6 + 56 + 48 = 666.

It is a super-3 number, since 3×556065648³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106423 + ... + 3106601.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^556065648 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 556065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

556065648 is an abundant number, since it is smaller than the sum of its proper divisors (1198822032).

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

556065648 is a wasteful number, since it uses less digits than its factorization.

556065648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 556065648 is about 23581.0442516866. The cubic root of 556065648 is about 822.3222137085.

The spelling of 556065648 in words is "five hundred fifty-six million, sixty-five thousand, six hundred forty-eight".