1682204160 has 640 divisors, whose sum is σ = 6929556480. Its totient is φ = 338558976.

The previous prime is 1682204101. The next prime is 1682204171. The reversal of 1682204160 is 614022861.

1682204160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20267479 + ... + 20267561.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2^1682204160 is an apocalyptic number.

1682204160 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 1682204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464778240).

1682204160 is an abundant number, since it is smaller than the sum of its proper divisors (5247352320).

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

1682204160 is a wasteful number, since it uses less digits than its factorization.

1682204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1682204160 is about 41014.6822491654. The cubic root of 1682204160 is about 1189.3040583909.

The spelling of 1682204160 in words is "one billion, six hundred eighty-two million, two hundred four thousand, one hundred sixty".