1679319180 has 432 divisors, whose sum is σ = 6811983360. Its totient is φ = 330220800.

The previous prime is 1679319179. The next prime is 1679319209. The reversal of 1679319180 is 819139761.

It is a super-2 number, since 2×1679319180² = 5640225816631744800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1842925 + ... + 1843835.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^1679319180 is an apocalyptic number.

1679319180 is a gapful number since it is divisible by the number (10) 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 1679319180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405991680).

1679319180 is an abundant number, since it is smaller than the sum of its proper divisors (5132664180).

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

1679319180 is a wasteful number, since it uses less digits than its factorization.

1679319180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1679319180 is about 40979.4970686562. The cubic root of 1679319180 is about 1188.6237838973.

The spelling of 1679319180 in words is "one billion, six hundred seventy-nine million, three hundred nineteen thousand, one hundred eighty".