1683216 has 30 divisors (see below), whose sum is σ = 4711070. Its totient is φ = 561024.

The previous prime is 1683169. The next prime is 1683223. The reversal of 1683216 is 6123861.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 3600 = 1296^2 + 60^2 .

It is a super-2 number, since 2×1683216² = 5666432205312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1683216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5701 + ... + 5988.

2^1683216 is an apocalyptic number.

1683216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1683216 is an abundant number, since it is smaller than the sum of its proper divisors (3027854).

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

1683216 is a wasteful number, since it uses less digits than its factorization.

1683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11694 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1683216 is about 1297.3881454677. The cubic root of 1683216 is about 118.9542464693.

The spelling of 1683216 in words is "one million, six hundred eighty-three thousand, two hundred sixteen".