1677648168 has 192 divisors, whose sum is σ = 5600649600. Its totient is φ = 442920960.

The previous prime is 1677648143. The next prime is 1677648197. The reversal of 1677648168 is 8618467761.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390480 + ... + 394752.

It is an arithmetic number, because the mean of its divisors is an integer number (29170050).

Almost surely, 2^1677648168 is an apocalyptic number.

1677648168 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 1677648168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800324800).

1677648168 is an abundant number, since it is smaller than the sum of its proper divisors (3923001432).

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

1677648168 is a wasteful number, since it uses less digits than its factorization.

1677648168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4345 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1677648168 is about 40959.1036034726. The cubic root of 1677648168 is about 1188.2294050745.

The spelling of 1677648168 in words is "one billion, six hundred seventy-seven million, six hundred forty-eight thousand, one hundred sixty-eight".