1706216640 has 224 divisors, whose sum is σ = 5640897024. Its totient is φ = 436592640.

The previous prime is 1706216639. The next prime is 1706216669. The reversal of 1706216640 is 466126071.

It is a super-3 number, since 3×1706216640³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636797 + ... + 2637443.

It is an arithmetic number, because the mean of its divisors is an integer number (25182576).

Almost surely, 2^1706216640 is an apocalyptic number.

1706216640 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 1706216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820448512).

1706216640 is an abundant number, since it is smaller than the sum of its proper divisors (3934680384).

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

1706216640 is a wasteful number, since it uses less digits than its factorization.

1706216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1706216640 is about 41306.3752948622. The cubic root of 1706216640 is about 1194.9362173668.

The spelling of 1706216640 in words is "one billion, seven hundred six million, two hundred sixteen thousand, six hundred forty".