679060512 has 288 divisors, whose sum is σ = 2258710272. Its totient is φ = 191619072.

The previous prime is 679060511. The next prime is 679060523. The reversal of 679060512 is 215060976.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×679060512² = 922246357915404288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (679060511) 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, 2991343 + ... + 2991569.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^679060512 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 679060512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

679060512 is an abundant number, since it is smaller than the sum of its proper divisors (1579649760).

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

679060512 is a wasteful number, since it uses less digits than its factorization.

679060512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 679060512 is about 26058.7895344354. The cubic root of 679060512 is about 878.9607704578.

The spelling of 679060512 in words is "six hundred seventy-nine million, sixty thousand, five hundred twelve".