689585400 has 288 divisors, whose sum is σ = 2746074240. Its totient is φ = 157541760.

The previous prime is 689585389. The next prime is 689585401. The reversal of 689585400 is 4585986.

689585400 is a `hidden beast` number, since 68 + 9 + 585 + 4 + 0 + 0 = 666.

689585400 is nontrivially palindromic in base 13.

689585400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689585401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339187 + ... + 341213.

It is an arithmetic number, because the mean of its divisors is an integer number (9534980).

Almost surely, 2^689585400 is an apocalyptic number.

689585400 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 689585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373037120).

689585400 is an abundant number, since it is smaller than the sum of its proper divisors (2056488840).

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

689585400 is a wasteful number, since it uses less digits than its factorization.

689585400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 689585400 is about 26259.9581111623. The cubic root of 689585400 is about 883.4785695293.

The spelling of 689585400 in words is "six hundred eighty-nine million, five hundred eighty-five thousand, four hundred".