693056 has 84 divisors (see below), whose sum is σ = 1824228. Its totient is φ = 258048.

The previous prime is 693041. The next prime is 693061. The reversal of 693056 is 650396.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 379456 = 560^2 + 616^2 .

It is a congruent number.

It is an unprimeable number.

693056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 40760 + ... + 40776.

It is an arithmetic number, because the mean of its divisors is an integer number (21717).

2⁶⁹³⁰⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 832×833.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912114).

693056 is an abundant number, since it is smaller than the sum of its proper divisors (1131172).

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

693056 is a wasteful number, since it uses less digits than its factorization.

693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 693056 is about 832.4998498498. The cubic root of 693056 is about 88.4958236935.

It can be divided in two parts, 69 and 3056, that added together give a 5-th power (3125 = 5⁵).

The spelling of 693056 in words is "six hundred ninety-three thousand, fifty-six".