4689000 has 96 divisors (see below), whose sum is σ = 15879240. Its totient is φ = 1248000.

The previous prime is 4688993. The next prime is 4689017. The reversal of 4689000 is 9864.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 3755844 = 966^2 + 1938^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8740 + ... + 9260.

Almost surely, 2^4689000 is an apocalyptic number.

4689000 is a gapful number since it is divisible by the number (40) 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 4689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939620).

4689000 is an abundant number, since it is smaller than the sum of its proper divisors (11190240).

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

4689000 is a wasteful number, since it uses less digits than its factorization.

4689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4689000 is about 2165.4098919142. The cubic root of 4689000 is about 167.3760871621.

The spelling of 4689000 in words is "four million, six hundred eighty-nine thousand".