735644 has 48 divisors (see below), whose sum is σ = 1655808. Its totient is φ = 278208.

The previous prime is 735617. The next prime is 735649. The reversal of 735644 is 446537.

735644 is nontrivially palindromic in base 6 and base 15.

It is an Ulam number.

735644 is an undulating number in base 15.

Its product of digits (10080) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15629 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (34496).

2⁷³⁵⁶⁴⁴ 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 735644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827904).

735644 is an abundant number, since it is smaller than the sum of its proper divisors (920164).

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

735644 is a wasteful number, since it uses less digits than its factorization.

735644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 735644 is about 857.6969161656. The cubic root of 735644 is about 90.2725891947.

The spelling of 735644 in words is "seven hundred thirty-five thousand, six hundred forty-four".