1679561984 has 72 divisors (see below), whose sum is σ = 3413316480. Its totient is φ = 824721408.

The previous prime is 1679561969. The next prime is 1679562011. The reversal of 1679561984 is 4891659761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5934707 + ... + 5934989.

Almost surely, 2^1679561984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706658240).

1679561984 is an abundant number, since it is smaller than the sum of its proper divisors (1733754496).

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

1679561984 is an equidigital number, since it uses as much as digits as its factorization.

1679561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 56.

The square root of 1679561984 is about 40982.4594674356. The cubic root of 1679561984 is about 1188.6810667741.

The spelling of 1679561984 in words is "one billion, six hundred seventy-nine million, five hundred sixty-one thousand, nine hundred eighty-four".