663546 has 32 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 198720.

The previous prime is 663541. The next prime is 663547. The reversal of 663546 is 645366.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3576 + ... + 3756.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

663546 is a Friedman number, since it can be written as 6*(54-6)^3-6, using all its digits and the basic arithmetic operations.

2⁶⁶³⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

663546 is an abundant number, since it is smaller than the sum of its proper divisors (804102).

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

663546 is a wasteful number, since it uses less digits than its factorization.

663546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its digits is 12960, while the sum is 30.

The square root of 663546 is about 814.5833290708. The cubic root of 663546 is about 87.2215255615.

The spelling of 663546 in words is "six hundred sixty-three thousand, five hundred forty-six".