1679682576 has 160 divisors (see below), whose sum is σ = 5147670528. Its totient is φ = 465246720.

The previous prime is 1679682553. The next prime is 1679682577. The reversal of 1679682576 is 6752869761.

It is a super-2 number, since 2×1679682576² = 5642667112235991552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1679682577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733305 + ... + 735591.

Almost surely, 2^1679682576 is an apocalyptic number.

1679682576 is a gapful number since it is divisible by the number (16) 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 1679682576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573835264).

1679682576 is an abundant number, since it is smaller than the sum of its proper divisors (3467987952).

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

1679682576 is a wasteful number, since it uses less digits than its factorization.

1679682576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2423 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The square root of 1679682576 is about 40983.9307046067. The cubic root of 1679682576 is about 1188.7095150636.

The spelling of 1679682576 in words is "one billion, six hundred seventy-nine million, six hundred eighty-two thousand, five hundred seventy-six".