1682120 has 32 divisors (see below), whose sum is σ = 4129920. Its totient is φ = 611520.

The previous prime is 1682119. The next prime is 1682123. The reversal of 1682120 is 212861.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1682092 and 1682101.

It is not an unprimeable number, because it can be changed into a prime (1682123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (129060).

2^1682120 is an apocalyptic number.

1682120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682120 is an abundant number, since it is smaller than the sum of its proper divisors (2447800).

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

1682120 is a wasteful number, since it uses less digits than its factorization.

1682120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1682120 is about 1296.9656896002. The cubic root of 1682120 is about 118.9284224592.

Adding to 1682120 its reverse (212861), we get a palindrome (1894981).

The spelling of 1682120 in words is "one million, six hundred eighty-two thousand, one hundred twenty".