679055520 has 288 divisors, whose sum is σ = 2530108224. Its totient is φ = 151756800.

The previous prime is 679055513. The next prime is 679055521. The reversal of 679055520 is 25550976.

It is a super-2 number, since 2×679055520² = 922232798484940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (679055521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 891940 + ... + 892700.

It is an arithmetic number, because the mean of its divisors is an integer number (8785098).

Almost surely, 2^679055520 is an apocalyptic number.

679055520 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 679055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265054112).

679055520 is an abundant number, since it is smaller than the sum of its proper divisors (1851052704).

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

679055520 is a wasteful number, since it uses less digits than its factorization.

679055520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 679055520 is about 26058.6937508387. The cubic root of 679055520 is about 878.9586166081.

The spelling of 679055520 in words is "six hundred seventy-nine million, fifty-five thousand, five hundred twenty".