1689480 has 144 divisors (see below), whose sum is σ = 6240780. Its totient is φ = 393984.

The previous prime is 1689451. The next prime is 1689497. The reversal of 1689480 is 849861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 116964 = 1254^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88911 + ... + 88929.

2^1689480 is an apocalyptic number.

1689480 is a gapful number since it is divisible by the number (10) 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 1689480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390).

1689480 is an abundant number, since it is smaller than the sum of its proper divisors (4551300).

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

1689480 is a wasteful number, since it uses less digits than its factorization.

1689480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1689480 is about 1299.7999846130. The cubic root of 1689480 is about 119.1016244621.

The spelling of 1689480 in words is "one million, six hundred eighty-nine thousand, four hundred eighty".