542368 has 24 divisors (see below), whose sum is σ = 1131732. Its totient is φ = 254976.

The previous prime is 542323. The next prime is 542371. The reversal of 542368 is 863245.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 63504 = 692^2 + 252^2 .

It is a d-powerful number, because it can be written as 5⁵ + 4² + 3¹² + 2 + 6⁵ + 8 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 1042.

2⁵⁴²³⁶⁸ 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 542368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565866).

542368 is an abundant number, since it is smaller than the sum of its proper divisors (589364).

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

542368 is a wasteful number, since it uses less digits than its factorization.

542368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 542368 is about 736.4563802426. The cubic root of 542368 is about 81.5513871669.

The spelling of 542368 in words is "five hundred forty-two thousand, three hundred sixty-eight".