545827968 has 192 divisors, whose sum is σ = 1813968000. Its totient is φ = 154312704.

The previous prime is 545827951. The next prime is 545827969. The reversal of 545827968 is 869728545.

545827968 is a `hidden beast` number, since 54 + 582 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (545827969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910933 + ... + 911531.

It is an arithmetic number, because the mean of its divisors is an integer number (9447750).

Almost surely, 2^545827968 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 545827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906984000).

545827968 is an abundant number, since it is smaller than the sum of its proper divisors (1268140032).

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

545827968 is a wasteful number, since it uses less digits than its factorization.

545827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 545827968 is about 23362.9614561168. The cubic root of 545827968 is about 817.2443529108.

The spelling of 545827968 in words is "five hundred forty-five million, eight hundred twenty-seven thousand, nine hundred sixty-eight".