1706664960 has 1056 divisors, whose sum is σ = 8154461952. Its totient is φ = 318504960.

The previous prime is 1706664959. The next prime is 1706664961. The reversal of 1706664960 is 694666071.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1706664959) and next prime (1706664961).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1706664961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46126062 + ... + 46126098.

Almost surely, 2^1706664960 is an apocalyptic number.

1706664960 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 1706664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077230976).

1706664960 is an abundant number, since it is smaller than the sum of its proper divisors (6447796992).

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

1706664960 is a wasteful number, since it uses less digits than its factorization.

1706664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1706664960 is about 41311.8017036294. The cubic root of 1706664960 is about 1195.0408674014.

It can be divided in two parts, 1706 and 664960, that added together give a palindrome (666666).

The spelling of 1706664960 in words is "one billion, seven hundred six million, six hundred sixty-four thousand, nine hundred sixty".