542564 has 36 divisors (see below), whose sum is σ = 1117200. Its totient is φ = 229680.

The previous prime is 542557. The next prime is 542567. The reversal of 542564 is 465245.

542564 = T₂₁₁ + T₂₁₂ + ... + T₂₃₂.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542564.

It is not an unprimeable number, because it can be changed into a prime (542567) by changing a digit.

542564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9167 + ... + 9225.

2⁵⁴²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

542564 is an abundant number, since it is smaller than the sum of its proper divisors (574636).

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

542564 is a wasteful number, since it uses less digits than its factorization.

542564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 542564 is about 736.5894378825. The cubic root of 542564 is about 81.5612096164.

The spelling of 542564 in words is "five hundred forty-two thousand, five hundred sixty-four".