723968641 has 16 divisors (see below), whose sum is σ = 797147136. Its totient is φ = 652050000.

The previous prime is 723968633. The next prime is 723968653. The reversal of 723968641 is 146869327.

It is a cyclic number.

It is not a de Polignac number, because 723968641 - 2³ = 723968633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 723968591 and 723968600.

It is not an unprimeable number, because it can be changed into a prime (723968621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628416 + ... + 629566.

It is an arithmetic number, because the mean of its divisors is an integer number (49821696).

Almost surely, 2^723968641 is an apocalyptic number.

It is an amenable number.

723968641 is a deficient number, since it is larger than the sum of its proper divisors (73178495).

723968641 is a wasteful number, since it uses less digits than its factorization.

723968641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its digits is 435456, while the sum is 46.

The square root of 723968641 is about 26906.6653638090. The cubic root of 723968641 is about 897.9247001607.

The spelling of 723968641 in words is "seven hundred twenty-three million, nine hundred sixty-eight thousand, six hundred forty-one".