1671680 has 40 divisors (see below), whose sum is σ = 4014252. Its totient is φ = 667648.

The previous prime is 1671679. The next prime is 1671689. The reversal of 1671680 is 861761.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 73984 = 1264^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1671689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2234 + ... + 2886.

2^1671680 is an apocalyptic number.

1671680 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 1671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007126).

1671680 is an abundant number, since it is smaller than the sum of its proper divisors (2342572).

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

1671680 is an frugal number, since it uses more digits than its factorization.

1671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1671680 is about 1292.9346464536. The cubic root of 1671680 is about 118.6818704306.

The spelling of 1671680 in words is "one million, six hundred seventy-one thousand, six hundred eighty".