1681948620 has 144 divisors (see below), whose sum is σ = 5585868288. Its totient is φ = 406270080.

The previous prime is 1681948573. The next prime is 1681948633. The reversal of 1681948620 is 268491861.

1681948620 is a `hidden beast` number, since 1 + 6 + 8 + 19 + 4 + 8 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606477 + ... + 609243.

It is an arithmetic number, because the mean of its divisors is an integer number (38790752).

Almost surely, 2^1681948620 is an apocalyptic number.

1681948620 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 1681948620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792934144).

1681948620 is an abundant number, since it is smaller than the sum of its proper divisors (3903919668).

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

1681948620 is a wasteful number, since it uses less digits than its factorization.

1681948620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1681948620 is about 41011.5669049599. The cubic root of 1681948620 is about 1189.2438338045.

The spelling of 1681948620 in words is "one billion, six hundred eighty-one million, nine hundred forty-eight thousand, six hundred twenty".