1680408 has 24 divisors (see below), whose sum is σ = 4551300. Its totient is φ = 560112.

The previous prime is 1680407. The next prime is 1680421. The reversal of 1680408 is 8040861.

1680408 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11598 + ... + 11741.

2^1680408 is an apocalyptic number.

1680408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1680408 is an abundant number, since it is smaller than the sum of its proper divisors (2870892).

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

1680408 is a wasteful number, since it uses less digits than its factorization.

1680408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1680408 is about 1296.3055195439. The cubic root of 1680408 is about 118.8880617690. Note that the first 3 decimals are identical.

The spelling of 1680408 in words is "one million, six hundred eighty thousand, four hundred eight".