679128000 has 112 divisors (see below), whose sum is σ = 2242559904. Its totient is φ = 181094400.

The previous prime is 679127971. The next prime is 679128011. The reversal of 679128000 is 821976.

It is a super-2 number, since 2×679128000² = 922429680768000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9852 + ... + 38148.

Almost surely, 2^679128000 is an apocalyptic number.

679128000 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 679128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121279952).

679128000 is an abundant number, since it is smaller than the sum of its proper divisors (1563431904).

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

679128000 is a wasteful number, since it uses less digits than its factorization.

679128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28327 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 679128000 is about 26060.0844204312. The cubic root of 679128000 is about 878.9898878135.

Adding to 679128000 its reverse (821976), we get a palindrome (679949976).

The spelling of 679128000 in words is "six hundred seventy-nine million, one hundred twenty-eight thousand".