1677811968 has 216 divisors, whose sum is σ = 5734875328. Its totient is φ = 479250432.

The previous prime is 1677811939. The next prime is 1677811979. The reversal of 1677811968 is 8691187761.

It is a tau number, because it is divible by the number of its divisors (216).

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

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433530 + ... + 437382.

Almost surely, 2^1677811968 is an apocalyptic number.

1677811968 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 1677811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867437664).

1677811968 is an abundant number, since it is smaller than the sum of its proper divisors (4057063360).

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

1677811968 is an frugal number, since it uses more digits than its factorization.

1677811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3865 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 1677811968 is about 40961.1031101458. The cubic root of 1677811968 is about 1188.2680754080.

The spelling of 1677811968 in words is "one billion, six hundred seventy-seven million, eight hundred eleven thousand, nine hundred sixty-eight".