735968 has 24 divisors (see below), whose sum is σ = 1469160. Its totient is φ = 362880.

The previous prime is 735953. The next prime is 735979. The reversal of 735968 is 869537.

735968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735968.

It is an unprimeable number.

735968 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 3 ways as a sum of consecutive naturals, for example, 3383 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (61215).

2⁷³⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

735968 is a deficient number, since it is larger than the sum of its proper divisors (733192).

735968 is a wasteful number, since it uses less digits than its factorization.

735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 735968 is about 857.8857732822. The cubic root of 735968 is about 90.2858401811.

The spelling of 735968 in words is "seven hundred thirty-five thousand, nine hundred sixty-eight".