693824 has 28 divisors (see below), whose sum is σ = 1418844. Its totient is φ = 336384.

The previous prime is 693809. The next prime is 693827. The reversal of 693824 is 428396.

It can be written as a sum of positive squares in 2 ways, for example, as 640000 + 53824 = 800^2 + 232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 693824.

It is not an unprimeable number, because it can be changed into a prime (693827) 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, 2222 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁶⁹³⁸²⁴ is an apocalyptic number.

693824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709422).

693824 is an abundant number, since it is smaller than the sum of its proper divisors (725020).

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

693824 is a wasteful number, since it uses less digits than its factorization.

693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 693824 is about 832.9609834800. The cubic root of 693824 is about 88.5285000829.

The spelling of 693824 in words is "six hundred ninety-three thousand, eight hundred twenty-four".