689606400 has 324 divisors, whose sum is σ = 2651023032. Its totient is φ = 157409280.

The previous prime is 689606381. The next prime is 689606431. The reversal of 689606400 is 4606986.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940434 + ... + 941166.

Almost surely, 2^689606400 is an apocalyptic number.

689606400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325511516).

689606400 is an abundant number, since it is smaller than the sum of its proper divisors (1961416632).

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

689606400 is a wasteful number, since it uses less digits than its factorization.

689606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 689606400 is about 26260.3579564331. The cubic root of 689606400 is about 883.4875376530.

The spelling of 689606400 in words is "six hundred eighty-nine million, six hundred six thousand, four hundred".