1685668320 has 480 divisors, whose sum is σ = 7205381568. Its totient is φ = 362299392.

The previous prime is 1685668289. The next prime is 1685668351. The reversal of 1685668320 is 238665861.

1685668320 is a `hidden beast` number, since 1 + 6 + 8 + 566 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1685668289) and next prime (1685668351).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1541694 + ... + 1542786.

Almost surely, 2^1685668320 is an apocalyptic number.

1685668320 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 1685668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602690784).

1685668320 is an abundant number, since it is smaller than the sum of its proper divisors (5519713248).

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

1685668320 is a wasteful number, since it uses less digits than its factorization.

1685668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1685668320 is about 41056.8912607859. The cubic root of 1685668320 is about 1190.1198758790.

The spelling of 1685668320 in words is "one billion, six hundred eighty-five million, six hundred sixty-eight thousand, three hundred twenty".