542515968 has 324 divisors, whose sum is σ = 1810350360. Its totient is φ = 161243136.

The previous prime is 542515957. The next prime is 542515969. The reversal of 542515968 is 869515245.

542515968 is a `hidden beast` number, since 5 + 4 + 2 + 51 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542515969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28553463 + ... + 28553481.

Almost surely, 2^542515968 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 542515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905175180).

542515968 is an abundant number, since it is smaller than the sum of its proper divisors (1267834392).

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

542515968 is an frugal number, since it uses more digits than its factorization.

542515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 542515968 is about 23291.9721792724. The cubic root of 542515968 is about 815.5880273371.

The spelling of 542515968 in words is "five hundred forty-two million, five hundred fifteen thousand, nine hundred sixty-eight".