1682306120 has 64 divisors (see below), whose sum is σ = 4133721600. Its totient is φ = 611092480.

The previous prime is 1682306083. The next prime is 1682306141. The reversal of 1682306120 is 216032861.

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 15 ways as a sum of consecutive naturals, for example, 631832 + ... + 634488.

It is an arithmetic number, because the mean of its divisors is an integer number (64589400).

Almost surely, 2^1682306120 is an apocalyptic number.

1682306120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682306120 is an abundant number, since it is smaller than the sum of its proper divisors (2451415480).

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

1682306120 is a wasteful number, since it uses less digits than its factorization.

1682306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1682306120 is about 41015.9251998538. The cubic root of 1682306120 is about 1189.3280861902.

Adding to 1682306120 its reverse (216032861), we get a palindrome (1898338981).

The spelling of 1682306120 in words is "one billion, six hundred eighty-two million, three hundred six thousand, one hundred twenty".