1680980 has 24 divisors (see below), whose sum is σ = 4034688. Its totient is φ = 576288.

The previous prime is 1680979. The next prime is 1680983. The reversal of 1680980 is 890861.

1680980 = 145² + 146² + ... + 200².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680983) 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, 5864 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (168112).

2^1680980 is an apocalyptic number.

1680980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680980 is an abundant number, since it is smaller than the sum of its proper divisors (2353708).

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

1680980 is a wasteful number, since it uses less digits than its factorization.

1680980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1680980 is about 1296.5261277738. The cubic root of 1680980 is about 118.9015498141.

The spelling of 1680980 in words is "one million, six hundred eighty thousand, nine hundred eighty".