1681536032 has 54 divisors (see below), whose sum is σ = 3644370639. Its totient is φ = 763174720.

The previous prime is 1681536023. The next prime is 1681536089. The reversal of 1681536032 is 2306351861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 840768016 + 840768016 = 28996^2 + 28996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28996.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1681535983 and 1681536001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2551319 + ... + 2551977.

Almost surely, 2^1681536032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681536032

1681536032 is an abundant number, since it is smaller than the sum of its proper divisors (1962834607).

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

1681536032 is an frugal number, since it uses more digits than its factorization.

1681536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1681536032 is about 41006.5364545703. The cubic root of 1681536032 is about 1189.1465839331.

Adding to 1681536032 its reverse (2306351861), we get a palindrome (3987887893).

The spelling of 1681536032 in words is "one billion, six hundred eighty-one million, five hundred thirty-six thousand, thirty-two".