735696 has 80 divisors (see below), whose sum is σ = 2291520. Its totient is φ = 224640.

The previous prime is 735689. The next prime is 735697. The reversal of 735696 is 696537.

It is a happy number.

735696 is nontrivially palindromic in base 5.

735696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 735696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5551 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁷³⁵⁶⁹⁶ 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 735696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760).

735696 is an abundant number, since it is smaller than the sum of its proper divisors (1555824).

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

735696 is a wasteful number, since it uses less digits than its factorization.

735696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 735696 is about 857.7272293684. The cubic root of 735696 is about 90.2747161583.

It can be divided in two parts, 735 and 696, that added together give a triangular number (1431 = T₅₃).

The spelling of 735696 in words is "seven hundred thirty-five thousand, six hundred ninety-six".