557851968 has 112 divisors (see below), whose sum is σ = 1645920000. Its totient is φ = 185278464.

The previous prime is 557851963. The next prime is 557851969. The reversal of 557851968 is 869158755.

557851968 is a `hidden beast` number, since 5 + 578 + 5 + 1 + 9 + 68 = 666.

It is a super-2 number, since 2×557851968² = 622397636402946048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557851963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775513 + ... + 776231.

Almost surely, 2^557851968 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 557851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960000).

557851968 is an abundant number, since it is smaller than the sum of its proper divisors (1088068032).

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

557851968 is a wasteful number, since it uses less digits than its factorization.

557851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The square root of 557851968 is about 23618.8900670628. The cubic root of 557851968 is about 823.2018223659.

The spelling of 557851968 in words is "five hundred fifty-seven million, eight hundred fifty-one thousand, nine hundred sixty-eight".