663732 has 36 divisors (see below), whose sum is σ = 1703520. Its totient is φ = 217872.

The previous prime is 663713. The next prime is 663737. The reversal of 663732 is 237366.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 663696 and 663705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663737) by changing a digit.

663732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3619 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (47320).

2⁶⁶³⁷³² is an apocalyptic number.

It is an amenable number.

663732 is an abundant number, since it is smaller than the sum of its proper divisors (1039788).

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

663732 is a wasteful number, since it uses less digits than its factorization.

663732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 663732 is about 814.6974898697. The cubic root of 663732 is about 87.2296745510.

The spelling of 663732 in words is "six hundred sixty-three thousand, seven hundred thirty-two".