1682215920 has 480 divisors, whose sum is σ = 7418810880. Its totient is φ = 330946560.

The previous prime is 1682215897. The next prime is 1682215921. The reversal of 1682215920 is 295122861.

1682215920 is a `hidden beast` number, since 1 + 68 + 2 + 2 + 1 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682215921) 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 95 ways as a sum of consecutive naturals, for example, 1052562 + ... + 1054158.

It is an arithmetic number, because the mean of its divisors is an integer number (15455856).

Almost surely, 2^1682215920 is an apocalyptic number.

1682215920 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 1682215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709405440).

1682215920 is an abundant number, since it is smaller than the sum of its proper divisors (5736594960).

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

1682215920 is a wasteful number, since it uses less digits than its factorization.

1682215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1682215920 is about 41014.8256122100. The cubic root of 1682215920 is about 1189.3068297912.

The spelling of 1682215920 in words is "one billion, six hundred eighty-two million, two hundred fifteen thousand, nine hundred twenty".