679056000 has 512 divisors, whose sum is σ = 2688491520. Its totient is φ = 148377600.

The previous prime is 679055989. The next prime is 679056061. The reversal of 679056000 is 650976.

It is a super-2 number, since 2×679056000² = 922234102272000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447977 + ... + 14448023.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^679056000 is an apocalyptic number.

679056000 is a gapful number since it is divisible by the number (60) 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 679056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344245760).

679056000 is an abundant number, since it is smaller than the sum of its proper divisors (2009435520).

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

679056000 is a wasteful number, since it uses less digits than its factorization.

679056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 679056000 is about 26058.7029608152. The cubic root of 679056000 is about 878.9588237094.

The spelling of 679056000 in words is "six hundred seventy-nine million, fifty-six thousand".