1705315680 has 288 divisors, whose sum is σ = 6300612864. Its totient is φ = 434750976.

The previous prime is 1705315663. The next prime is 1705315751. The reversal of 1705315680 is 865135071.

1705315680 is a `hidden beast` number, since 1 + 70 + 531 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 893287 + ... + 895193.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 2^1705315680 is an apocalyptic number.

1705315680 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 1705315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150306432).

1705315680 is an abundant number, since it is smaller than the sum of its proper divisors (4595297184).

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

1705315680 is a wasteful number, since it uses less digits than its factorization.

1705315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1705315680 is about 41295.4680322187. The cubic root of 1705315680 is about 1194.7258534421.

The spelling of 1705315680 in words is "one billion, seven hundred five million, three hundred fifteen thousand, six hundred eighty".