1683936 has 48 divisors (see below), whose sum is σ = 4914000. Its totient is φ = 561024.

The previous prime is 1683887. The next prime is 1683949. The reversal of 1683936 is 6393861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 1 + 6⁴ + 8³ + 3⁵ + 9² + 3⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 1683936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

2^1683936 is an apocalyptic number.

1683936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457000).

1683936 is an abundant number, since it is smaller than the sum of its proper divisors (3230064).

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

1683936 is a wasteful number, since it uses less digits than its factorization.

1683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1954 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1683936 is about 1297.6655963691. The cubic root of 1683936 is about 118.9712050471.

The spelling of 1683936 in words is "one million, six hundred eighty-three thousand, nine hundred thirty-six".