558561696 has 384 divisors, whose sum is σ = 1991485440. Its totient is φ = 132710400.

The previous prime is 558561691. The next prime is 558561709. The reversal of 558561696 is 696165855.

It is a happy number.

Its product of digits (1944000) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (558561691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5758320 + ... + 5758416.

It is an arithmetic number, because the mean of its divisors is an integer number (5186160).

Almost surely, 2^558561696 is an apocalyptic number.

558561696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995742720).

558561696 is an abundant number, since it is smaller than the sum of its proper divisors (1432923744).

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

558561696 is a wasteful number, since it uses less digits than its factorization.

558561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 51.

The square root of 558561696 is about 23633.9098754311. The cubic root of 558561696 is about 823.5507810029.

The spelling of 558561696 in words is "five hundred fifty-eight million, five hundred sixty-one thousand, six hundred ninety-six".