543664 has 20 divisors (see below), whose sum is σ = 1149480. Its totient is φ = 247040.

The previous prime is 543661. The next prime is 543671. The reversal of 543664 is 466345.

543664 = 112² + 113² + ... + 144².

It is a d-powerful number, because it can be written as 5 + 4⁴ + 6⁴ + 3³ + 6⁷ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (543661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369 + ... + 1720.

It is an arithmetic number, because the mean of its divisors is an integer number (57474).

2⁵⁴³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

543664 is an abundant number, since it is smaller than the sum of its proper divisors (605816).

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

543664 is a wasteful number, since it uses less digits than its factorization.

543664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 543664 is about 737.3357444204. The cubic root of 543664 is about 81.6162917618.

The spelling of 543664 in words is "five hundred forty-three thousand, six hundred sixty-four".