1705968 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 515520.

The previous prime is 1705943. The next prime is 1705973. The reversal of 1705968 is 8695071.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4573 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^1705968 is an apocalyptic number.

1705968 is a gapful number since it is divisible by the number (18) 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 1705968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

1705968 is an abundant number, since it is smaller than the sum of its proper divisors (3650832).

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

1705968 is a wasteful number, since it uses less digits than its factorization.

1705968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1705968 is about 1306.1270994815. The cubic root of 1705968 is about 119.4878170151.

The spelling of 1705968 in words is "one million, seven hundred five thousand, nine hundred sixty-eight".