735648 has 48 divisors (see below), whose sum is σ = 1975680. Its totient is φ = 239616.

The previous prime is 735617. The next prime is 735649. The reversal of 735648 is 846537.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735649) by changing a digit.

735648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7536 + ... + 7632.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

2⁷³⁵⁶⁴⁸ 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 735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840).

735648 is an abundant number, since it is smaller than the sum of its proper divisors (1240032).

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

735648 is a wasteful number, since it uses less digits than its factorization.

735648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 735648 is about 857.6992479885. The cubic root of 735648 is about 90.2727528108.

Subtracting 735648 from its reverse (846537), we obtain a square (110889 = 333²).

The spelling of 735648 in words is "seven hundred thirty-five thousand, six hundred forty-eight".