553985568 has 144 divisors (see below), whose sum is σ = 1646701056. Its totient is φ = 183202560.

The previous prime is 553985543. The next prime is 553985581. The reversal of 553985568 is 865589355.

553985568 is a `hidden beast` number, since 55 + 39 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×553985568³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485030 + ... + 1485402.

It is an arithmetic number, because the mean of its divisors is an integer number (11435424).

Almost surely, 2^553985568 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 553985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823350528).

553985568 is an abundant number, since it is smaller than the sum of its proper divisors (1092715488).

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

553985568 is a wasteful number, since it uses less digits than its factorization.

553985568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The square root of 553985568 is about 23536.8980114203. The cubic root of 553985568 is about 821.2955763785.

The spelling of 553985568 in words is "five hundred fifty-three million, nine hundred eighty-five thousand, five hundred sixty-eight".