693664 has 24 divisors (see below), whose sum is σ = 1394820. Its totient is φ = 339456.

The previous prime is 693661. The next prime is 693677. The reversal of 693664 is 466396.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 85264 = 780^2 + 292^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (693661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1492 + ... + 1900.

2⁶⁹³⁶⁶⁴ 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 693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697410).

693664 is an abundant number, since it is smaller than the sum of its proper divisors (701156).

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

693664 is a wasteful number, since it uses less digits than its factorization.

693664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 693664 is about 832.8649350285. The cubic root of 693664 is about 88.5216944910.

The spelling of 693664 in words is "six hundred ninety-three thousand, six hundred sixty-four".