1689133056 has 224 divisors, whose sum is σ = 5152387968. Its totient is φ = 487587840.

The previous prime is 1689133031. The next prime is 1689133081. The reversal of 1689133056 is 6503319861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1689133031) and next prime (1689133081).

It is a junction number, because it is equal to n+sod(n) for n = 1689132999 and 1689133017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5431141 + ... + 5431451.

It is an arithmetic number, because the mean of its divisors is an integer number (23001732).

Almost surely, 2^1689133056 is an apocalyptic number.

1689133056 is a gapful number since it is divisible by the number (16) 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 1689133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576193984).

1689133056 is an abundant number, since it is smaller than the sum of its proper divisors (3463254912).

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

1689133056 is a wasteful number, since it uses less digits than its factorization.

1689133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1689133056 is about 41099.0639309462. The cubic root of 1689133056 is about 1190.9347117962.

The spelling of 1689133056 in words is "one billion, six hundred eighty-nine million, one hundred thirty-three thousand, fifty-six".