1679934168 has 160 divisors (see below), whose sum is σ = 5356834560. Its totient is φ = 486889920.

The previous prime is 1679934161. The next prime is 1679934211. The reversal of 1679934168 is 8614399761.

It is a Cunningham number, because it is equal to 40987²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679934161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158821 + ... + 169067.

It is an arithmetic number, because the mean of its divisors is an integer number (33480216).

Almost surely, 2^1679934168 is an apocalyptic number.

1679934168 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 1679934168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678417280).

1679934168 is an abundant number, since it is smaller than the sum of its proper divisors (3676900392).

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

1679934168 is a wasteful number, since it uses less digits than its factorization.

1679934168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10286 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1679934168 is about 40986.9999878010. Note that the first 4 decimals coincide. The cubic root of 1679934168 is about 1188.7688625613.

The spelling of 1679934168 in words is "one billion, six hundred seventy-nine million, nine hundred thirty-four thousand, one hundred sixty-eight".