1706472768 has 336 divisors, whose sum is σ = 6104388096. Its totient is φ = 408545280.

The previous prime is 1706472763. The next prime is 1706472773. The reversal of 1706472768 is 8672746071.

It is an interprime number because it is at equal distance from previous prime (1706472763) and next prime (1706472773).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1706472763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498155 + ... + 2498837.

Almost surely, 2^1706472768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1706472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052194048).

1706472768 is an abundant number, since it is smaller than the sum of its proper divisors (4397915328).

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

1706472768 is a wasteful number, since it uses less digits than its factorization.

1706472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 1706472768 is about 41309.4755231775. The cubic root of 1706472768 is about 1194.9960068259.

It can be divided in two parts, 1706 and 472768, that added together give a palindrome (474474).

The spelling of 1706472768 in words is "one billion, seven hundred six million, four hundred seventy-two thousand, seven hundred sixty-eight".