543360672 has 144 divisors (see below), whose sum is σ = 1588538952. Its totient is φ = 176117760.

The previous prime is 543360667. The next prime is 543360673. The reversal of 543360672 is 276063345.

543360672 is a `hidden beast` number, since 5 + 43 + 3 + 606 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427496976 + 115863696 = 20676^2 + 10764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (543360673) 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, 2758078 + ... + 2758274.

Almost surely, 2^543360672 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 543360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794269476).

543360672 is an abundant number, since it is smaller than the sum of its proper divisors (1045178280).

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

543360672 is a wasteful number, since it uses less digits than its factorization.

543360672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 543360672 is about 23310.0980692918. The cubic root of 543360672 is about 816.0111013484.

The spelling of 543360672 in words is "five hundred forty-three million, three hundred sixty thousand, six hundred seventy-two".