1680622020 has 384 divisors, whose sum is σ = 6612480000. Its totient is φ = 348520320.

The previous prime is 1680621961. The next prime is 1680622039. The reversal of 1680622020 is 202260861.

1680622020 is a `hidden beast` number, since 16 + 8 + 0 + 622 + 0 + 20 = 666.

It is a super-3 number, since 3×1680622020³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 3367731 + ... + 3368229.

It is an arithmetic number, because the mean of its divisors is an integer number (17220000).

Almost surely, 2^1680622020 is an apocalyptic number.

1680622020 is a gapful number since it is divisible by the number (10) 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 1680622020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240000).

1680622020 is an abundant number, since it is smaller than the sum of its proper divisors (4931857980).

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

1680622020 is a wasteful number, since it uses less digits than its factorization.

1680622020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1680622020 is about 40995.3902286586. The cubic root of 1680622020 is about 1188.9310882560.

Adding to 1680622020 its reverse (202260861), we get a palindrome (1882882881).

The spelling of 1680622020 in words is "one billion, six hundred eighty million, six hundred twenty-two thousand, twenty".