1680160 has 24 divisors (see below), whose sum is σ = 3969756. Its totient is φ = 672000.

The previous prime is 1680149. The next prime is 1680167. The reversal of 1680160 is 610861.

It can be written as a sum of positive squares in 2 ways, for example, as 1628176 + 51984 = 1276^2 + 228^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1680167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091 + ... + 5410.

2^1680160 is an apocalyptic number.

1680160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680160 is an abundant number, since it is smaller than the sum of its proper divisors (2289596).

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

1680160 is a wasteful number, since it uses less digits than its factorization.

1680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1680160 is about 1296.2098595521. The cubic root of 1680160 is about 118.8822128542.

It can be divided in two parts, 16801 and 60, that added together give a palindrome (16861).

The spelling of 1680160 in words is "one million, six hundred eighty thousand, one hundred sixty".