1680393 has 16 divisors (see below), whose sum is σ = 2632896. Its totient is φ = 939840.

The previous prime is 1680377. The next prime is 1680401. The reversal of 1680393 is 3930861.

It is not a de Polignac number, because 1680393 - 2⁴ = 1680377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1680393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (164556).

2^1680393 is an apocalyptic number.

1680393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1680393 is a deficient number, since it is larger than the sum of its proper divisors (952503).

1680393 is a wasteful number, since it uses less digits than its factorization.

1680393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1680393 is about 1296.2997338579. The cubic root of 1680393 is about 118.8877080203.

The spelling of 1680393 in words is "one million, six hundred eighty thousand, three hundred ninety-three".