693328 has 20 divisors (see below), whose sum is σ = 1422900. Its totient is φ = 326144.

The previous prime is 693323. The next prime is 693337. The reversal of 693328 is 823396.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 97344 = 772^2 + 312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 693328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1003 + ... + 1546.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

2⁶⁹³³²⁸ is an apocalyptic number.

693328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

693328 is an abundant number, since it is smaller than the sum of its proper divisors (729572).

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

693328 is a wasteful number, since it uses less digits than its factorization.

693328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2568 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 693328 is about 832.6631972172. The cubic root of 693328 is about 88.5073993409.

The spelling of 693328 in words is "six hundred ninety-three thousand, three hundred twenty-eight".