693616 has 40 divisors (see below), whose sum is σ = 1678464. Its totient is φ = 269760.

The previous prime is 693607. The next prime is 693619. The reversal of 693616 is 616396.

It is a super-2 number, since 2×693616² = 962206310912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693619) by changing a digit.

693616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1513.

2⁶⁹³⁶¹⁶ 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 693616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839232).

693616 is an abundant number, since it is smaller than the sum of its proper divisors (984848).

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

693616 is a wasteful number, since it uses less digits than its factorization.

693616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 693616 is about 832.8361183330. The cubic root of 693616 is about 88.5196526094.

The spelling of 693616 in words is "six hundred ninety-three thousand, six hundred sixteen".