693888 has 64 divisors (see below), whose sum is σ = 1999200. Its totient is φ = 211968.

The previous prime is 693881. The next prime is 693943. The reversal of 693888 is 888396.

It is a Cunningham number, because it is equal to 833²-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 693888.

It is not an unprimeable number, because it can be changed into a prime (693881) 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 7 ways as a sum of consecutive naturals, for example, 4923 + ... + 5061.

2⁶⁹³⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999600).

693888 is an abundant number, since it is smaller than the sum of its proper divisors (1305312).

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

693888 is a wasteful number, since it uses less digits than its factorization.

693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 693888 is about 832.9993997597. Note that the first 3 decimals coincide. The cubic root of 693888 is about 88.5312220267.

It can be divided in two parts, 69388 and 8, that added together give a palindrome (69396).

The spelling of 693888 in words is "six hundred ninety-three thousand, eight hundred eighty-eight".