1706112 has 48 divisors (see below), whose sum is σ = 4912830. Its totient is φ = 568320.

The previous prime is 1706087. The next prime is 1706113. The reversal of 1706112 is 2116071.

It can be written as a sum of positive squares in only one way, i.e., 1498176 + 207936 = 1224^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1706113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412 + ... + 1892.

2^1706112 is an apocalyptic number.

1706112 is a gapful number since it is divisible by the number (12) 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 1706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456415).

1706112 is an abundant number, since it is smaller than the sum of its proper divisors (3206718).

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

1706112 is a wasteful number, since it uses less digits than its factorization.

1706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1706112 is about 1306.1822231220. The cubic root of 1706112 is about 119.4911788917.

The spelling of 1706112 in words is "one million, seven hundred six thousand, one hundred twelve".