1694679680 has 128 divisors (see below), whose sum is σ = 4332042000. Its totient is φ = 631701504.

The previous prime is 1694679677. The next prime is 1694679683. The reversal of 1694679680 is 869764961.

It is an interprime number because it is at equal distance from previous prime (1694679677) and next prime (1694679683).

It can be written as a sum of positive squares in 8 ways, for example, as 706709056 + 987970624 = 26584^2 + 31432^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1694679683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185206 + ... + 1186634.

Almost surely, 2^1694679680 is an apocalyptic number.

1694679680 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 1694679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166021000).

1694679680 is an abundant number, since it is smaller than the sum of its proper divisors (2637362320).

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

1694679680 is a wasteful number, since it uses less digits than its factorization.

1694679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The square root of 1694679680 is about 41166.4873410399. The cubic root of 1694679680 is about 1192.2368491711.

The spelling of 1694679680 in words is "one billion, six hundred ninety-four million, six hundred seventy-nine thousand, six hundred eighty".