542577168 has 120 divisors (see below), whose sum is σ = 1837525248. Its totient is φ = 145898496.

The previous prime is 542577143. The next prime is 542577169. The reversal of 542577168 is 861775245.

It is not an unprimeable number, because it can be changed into a prime (542577169) 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, 1305 + ... + 32967.

Almost surely, 2^542577168 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 542577168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918762624).

542577168 is an abundant number, since it is smaller than the sum of its proper divisors (1294948080).

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

542577168 is a wasteful number, since it uses less digits than its factorization.

542577168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31701 (or 31692 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 542577168 is about 23293.2858995892. The cubic root of 542577168 is about 815.6186943979.

It can be divided in two parts, 54257 and 7168, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 542577168 in words is "five hundred forty-two million, five hundred seventy-seven thousand, one hundred sixty-eight".