720993 has 32 divisors (see below), whose sum is σ = 1254400. Its totient is φ = 357696.

The previous prime is 720991. The next prime is 720997. The reversal of 720993 is 399027.

It is not a de Polignac number, because 720993 - 2¹ = 720991 is a prime.

It is a super-3 number, since 3×720993³ = 1124383333334959971, which contains 333 as substring.

720993 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 720993.

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 720993.

It is not an unprimeable number, because it can be changed into a prime (720991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5118 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2⁷²⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

720993 is a deficient number, since it is larger than the sum of its proper divisors (533407).

720993 is a wasteful number, since it uses less digits than its factorization.

720993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 720993 is about 849.1130666760. The cubic root of 720993 is about 89.6692800302.

The spelling of 720993 in words is "seven hundred twenty thousand, nine hundred ninety-three".