1705916940 has 192 divisors, whose sum is σ = 5901149184. Its totient is φ = 358566912.

The previous prime is 1705916939. The next prime is 1705916983. The reversal of 1705916940 is 496195071.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1705916892 and 1705916901.

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, 2167227 + ... + 2168013.

It is an arithmetic number, because the mean of its divisors is an integer number (30735152).

Almost surely, 2^1705916940 is an apocalyptic number.

1705916940 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 1705916940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950574592).

1705916940 is an abundant number, since it is smaller than the sum of its proper divisors (4195232244).

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

1705916940 is a wasteful number, since it uses less digits than its factorization.

1705916940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 1705916940 is about 41302.7473662467. The cubic root of 1705916940 is about 1194.8662490431.

The spelling of 1705916940 in words is "one billion, seven hundred five million, nine hundred sixteen thousand, nine hundred forty".