1685940480 has 720 divisors, whose sum is σ = 7265389824. Its totient is φ = 364953600.

The previous prime is 1685940437. The next prime is 1685940493. The reversal of 1685940480 is 840495861.

1685940480 is a `hidden beast` number, since 1 + 6 + 85 + 94 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 16692430 + ... + 16692530.

Almost surely, 2^1685940480 is an apocalyptic number.

1685940480 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 1685940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632694912).

1685940480 is an abundant number, since it is smaller than the sum of its proper divisors (5579449344).

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

1685940480 is a wasteful number, since it uses less digits than its factorization.

1685940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1685940480 is about 41060.2055523350. The cubic root of 1685940480 is about 1190.1839227995.

The spelling of 1685940480 in words is "one billion, six hundred eighty-five million, nine hundred forty thousand, four hundred eighty".