1680500976 has 160 divisors (see below), whose sum is σ = 5439080448. Its totient is φ = 434353920.

The previous prime is 1680500971. The next prime is 1680500977. The reversal of 1680500976 is 6790050861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680500971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 837991 + ... + 839993.

Almost surely, 2^1680500976 is an apocalyptic number.

1680500976 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 1680500976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719540224).

1680500976 is an abundant number, since it is smaller than the sum of its proper divisors (3758579472).

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

1680500976 is a wasteful number, since it uses less digits than its factorization.

1680500976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1680500976 is about 40993.9138897471. The cubic root of 1680500976 is about 1188.9025439774.

The spelling of 1680500976 in words is "one billion, six hundred eighty million, five hundred thousand, nine hundred seventy-six".