1680311120 has 30 divisors (see below), whose sum is σ = 3907575978. Its totient is φ = 671977792.

The previous prime is 1680311111. The next prime is 1680311123. The reversal of 1680311120 is 211130861.

It can be written as a sum of positive squares in only one way, i.e., 1344248896 + 336062224 = 36664^2 + 18332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680311123) 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, 364349 + ... + 368931.

Almost surely, 2^1680311120 is an apocalyptic number.

1680311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680311120 is an abundant number, since it is smaller than the sum of its proper divisors (2227264858).

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

1680311120 is an frugal number, since it uses more digits than its factorization.

1680311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1680311120 is about 40991.5981635261. The cubic root of 1680311120 is about 1188.8577698722.

Adding to 1680311120 its reverse (211130861), we get a palindrome (1891441981).

The spelling of 1680311120 in words is "one billion, six hundred eighty million, three hundred eleven thousand, one hundred twenty".