1680164976 has 40 divisors (see below), whose sum is σ = 4960488064. Its totient is φ = 480047040.

The previous prime is 1680164923. The next prime is 1680164989. The reversal of 1680164976 is 6794610861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2499910 + ... + 2500581.

Almost surely, 2^1680164976 is an apocalyptic number.

1680164976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1680164976 is an abundant number, since it is smaller than the sum of its proper divisors (3280323088).

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

1680164976 is a wasteful number, since it uses less digits than its factorization.

1680164976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000509 (or 5000503 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1680164976 is about 40989.8155155644. The cubic root of 1680164976 is about 1188.8233021547.

The spelling of 1680164976 in words is "one billion, six hundred eighty million, one hundred sixty-four thousand, nine hundred seventy-six".