689600 has 42 divisors (see below), whose sum is σ = 1700784. Its totient is φ = 275200.

The previous prime is 689599. The next prime is 689603. The reversal of 689600 is 6986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689603) 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 5 ways as a sum of consecutive naturals, for example, 1385 + ... + 1815.

2⁶⁸⁹⁶⁰⁰ 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 689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850392).

689600 is an abundant number, since it is smaller than the sum of its proper divisors (1011184).

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

689600 is a wasteful number, since it uses less digits than its factorization.

689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 689600 is about 830.4215796811. The cubic root of 689600 is about 88.3484804530.

The spelling of 689600 in words is "six hundred eighty-nine thousand, six hundred".