1677727056 has 80 divisors (see below), whose sum is σ = 4571205440. Its totient is φ = 528768000.

The previous prime is 1677727039. The next prime is 1677727061. The reversal of 1677727056 is 6507277761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1677726996 and 1677727014.

It is a congruent number.

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, 557556 + ... + 560556.

It is an arithmetic number, because the mean of its divisors is an integer number (57140068).

Almost surely, 2^1677727056 is an apocalyptic number.

1677727056 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 1677727056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285602720).

1677727056 is an abundant number, since it is smaller than the sum of its proper divisors (2893478384).

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

1677727056 is a wasteful number, since it uses less digits than its factorization.

1677727056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 48.

The square root of 1677727056 is about 40960.0666015084. The cubic root of 1677727056 is about 1188.2480294746.

The spelling of 1677727056 in words is "one billion, six hundred seventy-seven million, seven hundred twenty-seven thousand, fifty-six".