1681824 has 24 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 560576.

The previous prime is 1681817. The next prime is 1681837. The reversal of 1681824 is 4281861.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 1681791 and 1681800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8664 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

2^1681824 is an apocalyptic number.

It is an amenable number.

1681824 is an abundant number, since it is smaller than the sum of its proper divisors (2733216).

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

1681824 is a wasteful number, since it uses less digits than its factorization.

1681824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17532 (or 17524 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1681824 is about 1296.8515720775. The cubic root of 1681824 is about 118.9214461677.

The spelling of 1681824 in words is "one million, six hundred eighty-one thousand, eight hundred twenty-four".