1705084940 has 72 divisors (see below), whose sum is σ = 4002622848. Its totient is φ = 609223680.

The previous prime is 1705084939. The next prime is 1705084961. The reversal of 1705084940 is 494805071.

It is a super-2 number, since 2×1705084940² = 5814629305229607200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1705084894 and 1705084903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96644 + ... + 112916.

It is an arithmetic number, because the mean of its divisors is an integer number (55591984).

Almost surely, 2^1705084940 is an apocalyptic number.

1705084940 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 1705084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001311424).

1705084940 is an abundant number, since it is smaller than the sum of its proper divisors (2297537908).

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

1705084940 is a wasteful number, since it uses less digits than its factorization.

1705084940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16339 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1705084940 is about 41292.6741686706. The cubic root of 1705084940 is about 1194.6719663562.

The spelling of 1705084940 in words is "one billion, seven hundred five million, eighty-four thousand, nine hundred forty".