729648 has 50 divisors (see below), whose sum is σ = 2115564. Its totient is φ = 242784.

The previous prime is 729643. The next prime is 729649. The reversal of 729648 is 846927.

729648 is a `hidden beast` number, since 7 + 2 + 9 + 648 = 666.

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 (729643) by changing a digit.

729648 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 9 ways as a sum of consecutive naturals, for example, 1015 + ... + 1577.

2⁷²⁹⁶⁴⁸ 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 729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057782).

729648 is an abundant number, since it is smaller than the sum of its proper divisors (1385916).

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

729648 is a wasteful number, since it uses less digits than its factorization.

729648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 729648 is about 854.1943572747. The cubic root of 729648 is about 90.0266587693.

The spelling of 729648 in words is "seven hundred twenty-nine thousand, six hundred forty-eight".