1680537152 has 56 divisors (see below), whose sum is σ = 3841357824. Its totient is φ = 714534912.

The previous prime is 1680537149. The next prime is 1680537241. The reversal of 1680537152 is 2517350861.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1680537152² = 5648410238504542208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42128 + ... + 71664.

Almost surely, 2^1680537152 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 1680537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920678912).

1680537152 is an abundant number, since it is smaller than the sum of its proper divisors (2160820672).

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

1680537152 is a wasteful number, since it uses less digits than its factorization.

1680537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29683 (or 29673 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 1680537152 is about 40994.3551236021. The cubic root of 1680537152 is about 1188.9110750504.

The spelling of 1680537152 in words is "one billion, six hundred eighty million, five hundred thirty-seven thousand, one hundred fifty-two".