1680264 has 40 divisors (see below), whose sum is σ = 4708110. Its totient is φ = 559872.

The previous prime is 1680253. The next prime is 1680269. The reversal of 1680264 is 4620861.

It can be written as a sum of positive squares in only one way, i.e., 1368900 + 311364 = 1170^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

1680264 is a modest number, since divided by 264 gives 168 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1680269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 649 + ... + 1944.

2^1680264 is an apocalyptic number.

It is an amenable number.

1680264 is an abundant number, since it is smaller than the sum of its proper divisors (3027846).

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

1680264 is a wasteful number, since it uses less digits than its factorization.

1680264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1680264 is about 1296.2499758920. The cubic root of 1680264 is about 118.8846656950.

The spelling of 1680264 in words is "one million, six hundred eighty thousand, two hundred sixty-four".