1689577056 has 336 divisors, whose sum is σ = 5394138624. Its totient is φ = 519374592.

The previous prime is 1689577049. The next prime is 1689577081. The reversal of 1689577056 is 6507759861.

1689577056 is a `hidden beast` number, since 1 + 68 + 9 + 577 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1689576993 and 1689577011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25217535 + ... + 25217601.

It is an arithmetic number, because the mean of its divisors is an integer number (16053984).

Almost surely, 2^1689577056 is an apocalyptic number.

1689577056 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 1689577056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697069312).

1689577056 is an abundant number, since it is smaller than the sum of its proper divisors (3704561568).

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

1689577056 is an equidigital number, since it uses as much as digits as its factorization.

1689577056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 1689577056 is about 41104.4651589094. The cubic root of 1689577056 is about 1191.0390510579.

The spelling of 1689577056 in words is "one billion, six hundred eighty-nine million, five hundred seventy-seven thousand, fifty-six".