688633 has 4 divisors (see below), whose sum is σ = 751248. Its totient is φ = 626020.

The previous prime is 688631. The next prime is 688637. The reversal of 688633 is 336886.

688633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 688633 - 2¹ = 688631 is a prime.

It is a Duffinian number.

688633 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (688631) 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, 31291 + ... + 31312.

It is an arithmetic number, because the mean of its divisors is an integer number (187812).

2⁶⁸⁸⁶³³ is an apocalyptic number.

It is an amenable number.

688633 is a deficient number, since it is larger than the sum of its proper divisors (62615).

688633 is a wasteful number, since it uses less digits than its factorization.

688633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62614.

The product of its digits is 20736, while the sum is 34.

The square root of 688633 is about 829.8391410388. The cubic root of 688633 is about 88.3071652244.

The spelling of 688633 in words is "six hundred eighty-eight thousand, six hundred thirty-three".