1688772960 has 144 divisors (see below), whose sum is σ = 6586253856. Its totient is φ = 386002944.

The previous prime is 1688772947. The next prime is 1688773039. The reversal of 1688772960 is 692778861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1688772960² = 5703908220854323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1688772897 and 1688772906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73689 + ... + 93848.

It is an arithmetic number, because the mean of its divisors is an integer number (45737874).

Almost surely, 2^1688772960 is an apocalyptic number.

1688772960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688772960 is an abundant number, since it is smaller than the sum of its proper divisors (4897480896).

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

1688772960 is a wasteful number, since it uses less digits than its factorization.

1688772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167565 (or 167554 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1688772960 is about 41094.6828677385. The cubic root of 1688772960 is about 1190.8500764063.

The spelling of 1688772960 in words is "one billion, six hundred eighty-eight million, seven hundred seventy-two thousand, nine hundred sixty".