1679952000 has 256 divisors, whose sum is σ = 5753779200. Its totient is φ = 433152000.

The previous prime is 1679951957. The next prime is 1679952011. The reversal of 1679952000 is 2599761.

It is a self number, because there is not a number n which added to its sum of digits gives 1679952000.

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 31 ways as a sum of consecutive naturals, for example, 1487436 + ... + 1488564.

It is an arithmetic number, because the mean of its divisors is an integer number (22475700).

Almost surely, 2^1679952000 is an apocalyptic number.

1679952000 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 1679952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876889600).

1679952000 is an abundant number, since it is smaller than the sum of its proper divisors (4073827200).

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

1679952000 is a wasteful number, since it uses less digits than its factorization.

1679952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1679952000 is about 40987.2175196121. The cubic root of 1679952000 is about 1188.7730686887.

The spelling of 1679952000 in words is "one billion, six hundred seventy-nine million, nine hundred fifty-two thousand".