1677627648 has 162 divisors, whose sum is σ = 5107523694. Its totient is φ = 529514496.

The previous prime is 1677627577. The next prime is 1677627649. The reversal of 1677627648 is 8467267761.

1677627648 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 627 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1610256384 + 67371264 = 40128^2 + 8208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1677627594 and 1677627603.

It is not an unprimeable number, because it can be changed into a prime (1677627649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 830736 + ... + 832752.

Almost surely, 2^1677627648 is an apocalyptic number.

1677627648 is a gapful number since it is divisible by the number (18) 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 1677627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553761847).

1677627648 is an abundant number, since it is smaller than the sum of its proper divisors (3429896046).

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

1677627648 is a wasteful number, since it uses less digits than its factorization.

1677627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2041 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 1677627648 is about 40958.8531089434. The cubic root of 1677627648 is about 1188.2245604817.

The spelling of 1677627648 in words is "one billion, six hundred seventy-seven million, six hundred twenty-seven thousand, six hundred forty-eight".