1680633 has 18 divisors (see below), whose sum is σ = 2544906. Its totient is φ = 1068672.

The previous prime is 1680617. The next prime is 1680643. The reversal of 1680633 is 3360861.

It can be written as a sum of positive squares in only one way, i.e., 1375929 + 304704 = 1173^2 + 552^2 .

It is not a de Polignac number, because 1680633 - 2⁴ = 1680617 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 6² + 8 + 0 + 6⁸ + 3⁵ + 3⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 1680597 and 1680606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4585 + ... + 4937.

2^1680633 is an apocalyptic number.

It is an amenable number.

1680633 is a deficient number, since it is larger than the sum of its proper divisors (864273).

1680633 is a wasteful number, since it uses less digits than its factorization.

1680633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1680633 is about 1296.3923017359. The cubic root of 1680633 is about 118.8933677463.

The spelling of 1680633 in words is "one million, six hundred eighty thousand, six hundred thirty-three".